SlideShare a Scribd company logo
1 of 11
Download to read offline
Cu Dete
DELTA
Tnicaion
Invease pocesso Fe2entiadhon.aalbaba
dLE)F()
d
Aoidesiuceh ve 0
ntegsadh On
CConstant of otegscdi on
Paopectias of letesigcion lodiGnite lntegmathan
d
C (T)dr = F) +C
Cin KE d kf(d h (v)
(
f ) dt fal)de
f Lab)da- ECaxb)tC
Oate
DELTA o
3Stondatd formalae. of Intcqoalfon
e dr eC
orpeto/ optono)
d r a
gea
Sinx
Sind -Cos+C
Cosdr Sior+C -h
(VI1 Sec2 di - onx 4C h (r2
(v)osedrdaeCotxtC
(K) Sectanydr Seca +c
Cosec otr daE-Cosec tc
Date
DELTANe
JoqSecx+cnhd
CsAOCefxdrJoq 1Sin +
C
u SeLx d ogSeca tAans c
Cosec. dr Joa(osect-Cott+C
d d Sin +Chn
CostC
2
K d
t
-d Cotlbctd
x dz 2Seac+
tlosedsctc
0ato
DELTA PNo
Melhod af Subeition
unchondundhe
Put ) =t
h
E )
igo Suostitorion
a-2 XaSino o aCos
XASece 0x a losec9
X:atune ox alot9r
- EaCos 20
Same Speial Lotegmall:
d
Han +C
(u) dx
Jog aC
20 Xtal
( d
o C
2a
(1) Ax S tc
U-12
Date
DELTA No
Ld
d Jagx+Ee+e
)
2
2 2
2
nteggals ot he Form
Rx+Qdx
G+bxt
O
axbrtC
JPc+) (ant b t)dz
Poc+ d2aa b)+ M Hrd A o M
(
Dale
DELTA P No
CAd 03 -) d
eConslant
Subsltitute
d
Linea Lineas
LINEAR E
(R
dx LINEAR 2
Qund-Linear -
drdz
Lineat Ouad
Lineo
t
dr
SundGusd tip
F)
Rational Funchon
fl
folunomial Fanchan
TMPROPER
deg Fo deg.gleo Ndeg-f 2
degg
Conveot t
PARTIALFonetion
Foachon
Dete
DELTANo
#Co PARTA RACTLON lal ielaan
To be Med popes Kahono. lunchon.ony.)
fORM PARTLAL FUNCTIDN
atb
a-)- -C -b
2. 2 +9x +
(- -b) (1-O - a -b L-C
3 +
(a-0 -a) (-a)
4.P2+92+3
)+(c-b)
A
- a
(a-a)2 -b
5.P 92 4)
Cxc-a)( +baxtc
A C
T boc tc
Totgaxadion by Pas
h
eald
du (vdaxd
d
tollau 4his Osdex to
10g Tiqo
Algebaic
Lnvease Cxponenial.
Data
DELTA Pa No
Tnteqsal ot ho toxm
e (f0 tF) de e,f+c
NTEORAL TRIno fORMAT
(o-
d
a+6Sin
e
a4b losx
-
TI dr
Ua+bos c + CSinxc
SinaE2HanI/2
(o- 14taf r/
Cos X= t-Ha
(+0d IAanl2
(E) d
a4 bCoste
( _dr
Ua+bSir
Divideby Cos ad
uc+a t
d
a Cosst bSina+c
(Un) a a Cos14 bSinocdt
C Cos+ d Sinx
lom Coenom-) +8 lDenom)
Date
DELTAN
DEEINLne ITEqdion
Ln
PROPERTIesOfD BNITE NTARALS
OE)d )d
ECL) dt
obosd_ iadis
o d
a
atb-dr 1o M
Cdr 2JFLR)d i s even
fa sodd
O
G 2 Cdy 2 ) d f(20-): f( )
(20-) f)
DELTA PyNo
n
FC9dr n 0 daar aDlak0
t
Ce)dr
x) dr n0mj- Culdi
Fad
Leibnitts theozüm
nla)
ACeLL)dt)Fha). K)-Fgcog
da
LIMIT ofA SoM diD
C(D d =Jh f a)4f (0+6) (04(n-)h
n0
Dete
DELTA
#k SPeclalSa comch
Cosh VeN
6DD
h2
3

More Related Content

What's hot

Py con 2018_youngsooksong
Py con 2018_youngsooksongPy con 2018_youngsooksong
Py con 2018_youngsooksongYoung Sook Song
 
Toan pt.de064.2012
Toan pt.de064.2012Toan pt.de064.2012
Toan pt.de064.2012BẢO Hí
 
ย้ายคีนถิ่น55
ย้ายคีนถิ่น55ย้ายคีนถิ่น55
ย้ายคีนถิ่น55anuchit14thongkam
 
Gita dwi ayu (Tugas Struktur Aljabar I)
Gita dwi ayu (Tugas Struktur Aljabar I)Gita dwi ayu (Tugas Struktur Aljabar I)
Gita dwi ayu (Tugas Struktur Aljabar I)Lakidende University
 
fungsi trigonometri
fungsi trigonometrifungsi trigonometri
fungsi trigonometridela1311
 
レインボーテーブルを使ったハッシュの復号とSalt
レインボーテーブルを使ったハッシュの復号とSaltレインボーテーブルを使ったハッシュの復号とSalt
レインボーテーブルを使ったハッシュの復号とSaltRyo Maruyama
 
Toan pt.de035.2011
Toan pt.de035.2011Toan pt.de035.2011
Toan pt.de035.2011BẢO Hí
 
Queuing theory 1 : Notes
Queuing theory 1 : NotesQueuing theory 1 : Notes
Queuing theory 1 : NotesSubhajit Sahu
 
Certificates and Awards
Certificates and AwardsCertificates and Awards
Certificates and AwardsRicky Fraley
 
高いChurn耐性と検索性能を持つキー順序保存型構造化オーバレイネットワークSuzakuの提案と評価
高いChurn耐性と検索性能を持つキー順序保存型構造化オーバレイネットワークSuzakuの提案と評価高いChurn耐性と検索性能を持つキー順序保存型構造化オーバレイネットワークSuzakuの提案と評価
高いChurn耐性と検索性能を持つキー順序保存型構造化オーバレイネットワークSuzakuの提案と評価Kota Abe
 

What's hot (18)

Img 0003
Img 0003Img 0003
Img 0003
 
Diklat penunjang lain
Diklat penunjang lainDiklat penunjang lain
Diklat penunjang lain
 
Diklat analisis data
Diklat analisis data Diklat analisis data
Diklat analisis data
 
Slc math series
Slc math seriesSlc math series
Slc math series
 
Py con 2018_youngsooksong
Py con 2018_youngsooksongPy con 2018_youngsooksong
Py con 2018_youngsooksong
 
Toan pt.de064.2012
Toan pt.de064.2012Toan pt.de064.2012
Toan pt.de064.2012
 
ย้ายคีนถิ่น55
ย้ายคีนถิ่น55ย้ายคีนถิ่น55
ย้ายคีนถิ่น55
 
Gita dwi ayu (Tugas Struktur Aljabar I)
Gita dwi ayu (Tugas Struktur Aljabar I)Gita dwi ayu (Tugas Struktur Aljabar I)
Gita dwi ayu (Tugas Struktur Aljabar I)
 
M. Haiti
M. HaitiM. Haiti
M. Haiti
 
Mathematics x 2013
Mathematics x 2013Mathematics x 2013
Mathematics x 2013
 
List of formulae
List of formulaeList of formulae
List of formulae
 
fungsi trigonometri
fungsi trigonometrifungsi trigonometri
fungsi trigonometri
 
レインボーテーブルを使ったハッシュの復号とSalt
レインボーテーブルを使ったハッシュの復号とSaltレインボーテーブルを使ったハッシュの復号とSalt
レインボーテーブルを使ったハッシュの復号とSalt
 
Toan pt.de035.2011
Toan pt.de035.2011Toan pt.de035.2011
Toan pt.de035.2011
 
Queuing theory 1 : Notes
Queuing theory 1 : NotesQueuing theory 1 : Notes
Queuing theory 1 : Notes
 
Certificates and Awards
Certificates and AwardsCertificates and Awards
Certificates and Awards
 
高いChurn耐性と検索性能を持つキー順序保存型構造化オーバレイネットワークSuzakuの提案と評価
高いChurn耐性と検索性能を持つキー順序保存型構造化オーバレイネットワークSuzakuの提案と評価高いChurn耐性と検索性能を持つキー順序保存型構造化オーバレイネットワークSuzakuの提案と評価
高いChurn耐性と検索性能を持つキー順序保存型構造化オーバレイネットワークSuzakuの提案と評価
 
Laplace table
Laplace tableLaplace table
Laplace table
 

Similar to Concise formulas and properties of definite integrals

2000031240_Atfl_Tutorial2.pdf
2000031240_Atfl_Tutorial2.pdf2000031240_Atfl_Tutorial2.pdf
2000031240_Atfl_Tutorial2.pdfKillaAparna
 
Problems in electromagnetic fields
Problems in electromagnetic fieldsProblems in electromagnetic fields
Problems in electromagnetic fieldsRamyaR123
 
61eb7d8ced660e001117b67c_##_Ch 02 Structure of Atom.pdf
61eb7d8ced660e001117b67c_##_Ch 02 Structure of Atom.pdf61eb7d8ced660e001117b67c_##_Ch 02 Structure of Atom.pdf
61eb7d8ced660e001117b67c_##_Ch 02 Structure of Atom.pdfVICTIMGAMER
 
Electrostatics.pdf.pdfpppppppppppppppppppppppppp
Electrostatics.pdf.pdfppppppppppppppppppppppppppElectrostatics.pdf.pdfpppppppppppppppppppppppppp
Electrostatics.pdf.pdfppppppppppppppppppppppppppPratap Surwase
 
SSC CGL Algebra not practice
SSC CGL Algebra not practiceSSC CGL Algebra not practice
SSC CGL Algebra not practiceKoncept Academy
 
Queuing theory : Notes
Queuing theory : NotesQueuing theory : Notes
Queuing theory : NotesSubhajit Sahu
 
Rahul sinha soil mech. basics
Rahul sinha soil mech. basicsRahul sinha soil mech. basics
Rahul sinha soil mech. basicsRAHUL SINHA
 
Trial penang 2014 spm matematik tambahan k1 k2 skema [scan]
Trial penang 2014 spm matematik tambahan k1 k2 skema [scan]Trial penang 2014 spm matematik tambahan k1 k2 skema [scan]
Trial penang 2014 spm matematik tambahan k1 k2 skema [scan]Cikgu Pejal
 
Dld unit-2-notes (1)
Dld unit-2-notes (1)Dld unit-2-notes (1)
Dld unit-2-notes (1)kamlimisty
 
電路學 - [第五章] 一階RC/RL電路
電路學 - [第五章] 一階RC/RL電路電路學 - [第五章] 一階RC/RL電路
電路學 - [第五章] 一階RC/RL電路Simen Li
 
Cálculo ii howard anton - capítulo 16 [tópicos do cálculo vetorial]
Cálculo ii   howard anton - capítulo 16 [tópicos do cálculo vetorial]Cálculo ii   howard anton - capítulo 16 [tópicos do cálculo vetorial]
Cálculo ii howard anton - capítulo 16 [tópicos do cálculo vetorial]Henrique Covatti
 
System dynamics 3rd edition palm solutions manual
System dynamics 3rd edition palm solutions manualSystem dynamics 3rd edition palm solutions manual
System dynamics 3rd edition palm solutions manualSextonMales
 
2000031240_Atfl_Tutorial1.pdf
2000031240_Atfl_Tutorial1.pdf2000031240_Atfl_Tutorial1.pdf
2000031240_Atfl_Tutorial1.pdfKillaAparna
 

Similar to Concise formulas and properties of definite integrals (20)

2000031240_Atfl_Tutorial2.pdf
2000031240_Atfl_Tutorial2.pdf2000031240_Atfl_Tutorial2.pdf
2000031240_Atfl_Tutorial2.pdf
 
Adobe Scan 26-Nov-2022.pdf
Adobe Scan 26-Nov-2022.pdfAdobe Scan 26-Nov-2022.pdf
Adobe Scan 26-Nov-2022.pdf
 
Problems in electromagnetic fields
Problems in electromagnetic fieldsProblems in electromagnetic fields
Problems in electromagnetic fields
 
61eb7d8ced660e001117b67c_##_Ch 02 Structure of Atom.pdf
61eb7d8ced660e001117b67c_##_Ch 02 Structure of Atom.pdf61eb7d8ced660e001117b67c_##_Ch 02 Structure of Atom.pdf
61eb7d8ced660e001117b67c_##_Ch 02 Structure of Atom.pdf
 
Fluid dynamics tutorial
Fluid dynamics tutorialFluid dynamics tutorial
Fluid dynamics tutorial
 
Electrostatics.pdf.pdfpppppppppppppppppppppppppp
Electrostatics.pdf.pdfppppppppppppppppppppppppppElectrostatics.pdf.pdfpppppppppppppppppppppppppp
Electrostatics.pdf.pdfpppppppppppppppppppppppppp
 
SSC CGL Algebra not practice
SSC CGL Algebra not practiceSSC CGL Algebra not practice
SSC CGL Algebra not practice
 
Queuing theory : Notes
Queuing theory : NotesQueuing theory : Notes
Queuing theory : Notes
 
Calculus III
Calculus IIICalculus III
Calculus III
 
4th Semester M Tech: VLSI Design and Embedded System (June-2016) Question Papers
4th Semester M Tech: VLSI Design and Embedded System (June-2016) Question Papers4th Semester M Tech: VLSI Design and Embedded System (June-2016) Question Papers
4th Semester M Tech: VLSI Design and Embedded System (June-2016) Question Papers
 
Rahul sinha soil mech. basics
Rahul sinha soil mech. basicsRahul sinha soil mech. basics
Rahul sinha soil mech. basics
 
[HRD] MATH_NOTES.pdf
[HRD] MATH_NOTES.pdf[HRD] MATH_NOTES.pdf
[HRD] MATH_NOTES.pdf
 
1st and 2nd Semester M Tech: VLSI Design and Embedded System (Dec-2015; Jan-2...
1st and 2nd Semester M Tech: VLSI Design and Embedded System (Dec-2015; Jan-2...1st and 2nd Semester M Tech: VLSI Design and Embedded System (Dec-2015; Jan-2...
1st and 2nd Semester M Tech: VLSI Design and Embedded System (Dec-2015; Jan-2...
 
Ada
AdaAda
Ada
 
Trial penang 2014 spm matematik tambahan k1 k2 skema [scan]
Trial penang 2014 spm matematik tambahan k1 k2 skema [scan]Trial penang 2014 spm matematik tambahan k1 k2 skema [scan]
Trial penang 2014 spm matematik tambahan k1 k2 skema [scan]
 
Dld unit-2-notes (1)
Dld unit-2-notes (1)Dld unit-2-notes (1)
Dld unit-2-notes (1)
 
電路學 - [第五章] 一階RC/RL電路
電路學 - [第五章] 一階RC/RL電路電路學 - [第五章] 一階RC/RL電路
電路學 - [第五章] 一階RC/RL電路
 
Cálculo ii howard anton - capítulo 16 [tópicos do cálculo vetorial]
Cálculo ii   howard anton - capítulo 16 [tópicos do cálculo vetorial]Cálculo ii   howard anton - capítulo 16 [tópicos do cálculo vetorial]
Cálculo ii howard anton - capítulo 16 [tópicos do cálculo vetorial]
 
System dynamics 3rd edition palm solutions manual
System dynamics 3rd edition palm solutions manualSystem dynamics 3rd edition palm solutions manual
System dynamics 3rd edition palm solutions manual
 
2000031240_Atfl_Tutorial1.pdf
2000031240_Atfl_Tutorial1.pdf2000031240_Atfl_Tutorial1.pdf
2000031240_Atfl_Tutorial1.pdf
 

Recently uploaded

Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Sapana Sha
 
Crayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon ACrayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon AUnboundStockton
 
Employee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxEmployee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxNirmalaLoungPoorunde1
 
mini mental status format.docx
mini    mental       status     format.docxmini    mental       status     format.docx
mini mental status format.docxPoojaSen20
 
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17Celine George
 
Mastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionMastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionSafetyChain Software
 
Science 7 - LAND and SEA BREEZE and its Characteristics
Science 7 - LAND and SEA BREEZE and its CharacteristicsScience 7 - LAND and SEA BREEZE and its Characteristics
Science 7 - LAND and SEA BREEZE and its CharacteristicsKarinaGenton
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeThiyagu K
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Krashi Coaching
 
APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAssociation for Project Management
 
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptx
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptxContemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptx
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptxRoyAbrique
 
Presiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha electionsPresiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha electionsanshu789521
 
PSYCHIATRIC History collection FORMAT.pptx
PSYCHIATRIC   History collection FORMAT.pptxPSYCHIATRIC   History collection FORMAT.pptx
PSYCHIATRIC History collection FORMAT.pptxPoojaSen20
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxiammrhaywood
 
MENTAL STATUS EXAMINATION format.docx
MENTAL     STATUS EXAMINATION format.docxMENTAL     STATUS EXAMINATION format.docx
MENTAL STATUS EXAMINATION format.docxPoojaSen20
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptxVS Mahajan Coaching Centre
 
Paris 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityParis 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityGeoBlogs
 
Hybridoma Technology ( Production , Purification , and Application )
Hybridoma Technology  ( Production , Purification , and Application  ) Hybridoma Technology  ( Production , Purification , and Application  )
Hybridoma Technology ( Production , Purification , and Application ) Sakshi Ghasle
 

Recently uploaded (20)

Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
 
Crayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon ACrayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon A
 
Employee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxEmployee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptx
 
Model Call Girl in Tilak Nagar Delhi reach out to us at 🔝9953056974🔝
Model Call Girl in Tilak Nagar Delhi reach out to us at 🔝9953056974🔝Model Call Girl in Tilak Nagar Delhi reach out to us at 🔝9953056974🔝
Model Call Girl in Tilak Nagar Delhi reach out to us at 🔝9953056974🔝
 
mini mental status format.docx
mini    mental       status     format.docxmini    mental       status     format.docx
mini mental status format.docx
 
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
Incoming and Outgoing Shipments in 1 STEP Using Odoo 17
 
Mastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionMastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory Inspection
 
Science 7 - LAND and SEA BREEZE and its Characteristics
Science 7 - LAND and SEA BREEZE and its CharacteristicsScience 7 - LAND and SEA BREEZE and its Characteristics
Science 7 - LAND and SEA BREEZE and its Characteristics
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and Mode
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
 
APM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across SectorsAPM Welcome, APM North West Network Conference, Synergies Across Sectors
APM Welcome, APM North West Network Conference, Synergies Across Sectors
 
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptx
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptxContemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptx
Contemporary philippine arts from the regions_PPT_Module_12 [Autosaved] (1).pptx
 
Presiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha electionsPresiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha elections
 
PSYCHIATRIC History collection FORMAT.pptx
PSYCHIATRIC   History collection FORMAT.pptxPSYCHIATRIC   History collection FORMAT.pptx
PSYCHIATRIC History collection FORMAT.pptx
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
 
MENTAL STATUS EXAMINATION format.docx
MENTAL     STATUS EXAMINATION format.docxMENTAL     STATUS EXAMINATION format.docx
MENTAL STATUS EXAMINATION format.docx
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
 
Paris 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activityParis 2024 Olympic Geographies - an activity
Paris 2024 Olympic Geographies - an activity
 
Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1
 
Hybridoma Technology ( Production , Purification , and Application )
Hybridoma Technology  ( Production , Purification , and Application  ) Hybridoma Technology  ( Production , Purification , and Application  )
Hybridoma Technology ( Production , Purification , and Application )
 

Concise formulas and properties of definite integrals

  • 1. Cu Dete DELTA Tnicaion Invease pocesso Fe2entiadhon.aalbaba dLE)F() d Aoidesiuceh ve 0 ntegsadh On CConstant of otegscdi on Paopectias of letesigcion lodiGnite lntegmathan d C (T)dr = F) +C Cin KE d kf(d h (v) ( f ) dt fal)de f Lab)da- ECaxb)tC
  • 2. Oate DELTA o 3Stondatd formalae. of Intcqoalfon e dr eC orpeto/ optono) d r a gea Sinx Sind -Cos+C Cosdr Sior+C -h (VI1 Sec2 di - onx 4C h (r2 (v)osedrdaeCotxtC (K) Sectanydr Seca +c Cosec otr daE-Cosec tc
  • 3. Date DELTANe JoqSecx+cnhd CsAOCefxdrJoq 1Sin + C u SeLx d ogSeca tAans c Cosec. dr Joa(osect-Cott+C d d Sin +Chn CostC 2 K d t -d Cotlbctd x dz 2Seac+ tlosedsctc
  • 4. 0ato DELTA PNo Melhod af Subeition unchondundhe Put ) =t h E ) igo Suostitorion a-2 XaSino o aCos XASece 0x a losec9 X:atune ox alot9r - EaCos 20 Same Speial Lotegmall: d Han +C (u) dx Jog aC 20 Xtal ( d o C 2a (1) Ax S tc U-12
  • 5. Date DELTA No Ld d Jagx+Ee+e ) 2 2 2 2 nteggals ot he Form Rx+Qdx G+bxt O axbrtC JPc+) (ant b t)dz Poc+ d2aa b)+ M Hrd A o M (
  • 6. Dale DELTA P No CAd 03 -) d eConslant Subsltitute d Linea Lineas LINEAR E (R dx LINEAR 2 Qund-Linear - drdz Lineat Ouad Lineo t dr SundGusd tip F) Rational Funchon fl folunomial Fanchan TMPROPER deg Fo deg.gleo Ndeg-f 2 degg Conveot t PARTIALFonetion Foachon
  • 7. Dete DELTANo #Co PARTA RACTLON lal ielaan To be Med popes Kahono. lunchon.ony.) fORM PARTLAL FUNCTIDN atb a-)- -C -b 2. 2 +9x + (- -b) (1-O - a -b L-C 3 + (a-0 -a) (-a) 4.P2+92+3 )+(c-b) A - a (a-a)2 -b 5.P 92 4) Cxc-a)( +baxtc A C T boc tc Totgaxadion by Pas h eald du (vdaxd d tollau 4his Osdex to 10g Tiqo Algebaic Lnvease Cxponenial.
  • 8. Data DELTA Pa No Tnteqsal ot ho toxm e (f0 tF) de e,f+c NTEORAL TRIno fORMAT (o- d a+6Sin e a4b losx - TI dr Ua+bos c + CSinxc SinaE2HanI/2 (o- 14taf r/ Cos X= t-Ha (+0d IAanl2 (E) d a4 bCoste ( _dr Ua+bSir Divideby Cos ad uc+a t d a Cosst bSina+c (Un) a a Cos14 bSinocdt C Cos+ d Sinx lom Coenom-) +8 lDenom)
  • 9. Date DELTAN DEEINLne ITEqdion Ln PROPERTIesOfD BNITE NTARALS OE)d )d ECL) dt obosd_ iadis o d a atb-dr 1o M Cdr 2JFLR)d i s even fa sodd O G 2 Cdy 2 ) d f(20-): f( ) (20-) f)
  • 10. DELTA PyNo n FC9dr n 0 daar aDlak0 t Ce)dr x) dr n0mj- Culdi Fad Leibnitts theozüm nla) ACeLL)dt)Fha). K)-Fgcog da LIMIT ofA SoM diD C(D d =Jh f a)4f (0+6) (04(n-)h n0