SlideShare a Scribd company logo
1 of 6
PRESENTATION ABOUT:
SPECIAL
TYPE OF INTEGRAL
The problem I would like to present,
𝑑𝑧
∫ 𝑑π‘₯
π‘₯ + 2 π‘₯ βˆ’ 1
Therefore,
=) π‘₯ βˆ’ 1 = 𝑧
=)π‘₯ βˆ’ 1 = 𝑧2
=) π‘₯ = 𝑧2 + 1
=)
𝑑
𝑑π‘₯
(π‘₯ βˆ’ 1) =
𝑑
𝑑π‘₯
. 𝑧2
=) 1βˆ’ 0 =2𝑧.
TYPE-1:
Let,
𝐼 = ∫ 2𝑧.
𝑑𝑧
𝑧2 + 1 + 2 𝑧
= 2∫
𝑑𝑧
𝑧2 + 3
=
𝑑𝑧
𝑧2 + 3
2
=2.
1
π‘Ž
. tanβˆ’1 𝑧
3
+ 𝑐 (solved)
The problem I would like to present,
∫ 𝐝𝐱
𝐱 + 𝟏 𝐱 + πŸ“
=)𝒙 βˆ’ 𝟏 = 𝒛 𝟐
=)𝒅𝒙 = πŸπ’›. 𝒅𝒛
Let,
𝑰 = ∫ πŸπ’›.
𝒅𝒛
𝒛 𝟐
. 𝒛 𝟐
+ 𝟏 + πŸ“
=∫ πŸπ’›.
𝒅𝒛
𝒛 𝒛 𝟐+πŸ”
=∫ πŸπ’›.
𝒅𝒛
𝒛 𝒛 𝟐+πŸ”
= ∫ 𝒅𝒛/ 𝒛 𝟐 + πŸ”
𝟐
= 𝟐 π’π’π’ˆ{𝒛 + 𝒛 𝟐 + πŸ”
𝟐
𝑨𝒏𝒔
TYPE 2:
special Type Of integral
special Type Of integral

More Related Content

What's hot

Three-dimensional Face Shape by Local Features Prediction
Three-dimensional Face Shape by Local Features PredictionThree-dimensional Face Shape by Local Features Prediction
Three-dimensional Face Shape by Local Features PredictionCSCJournals
Β 
ANALISIS RIIL 1 3.3 dan 3.4 ROBERT G BARTLE
ANALISIS RIIL 1 3.3 dan 3.4 ROBERT G BARTLEANALISIS RIIL 1 3.3 dan 3.4 ROBERT G BARTLE
ANALISIS RIIL 1 3.3 dan 3.4 ROBERT G BARTLEMuhammad Nur Chalim
Β 
4.2 writing equations in slope intercept form
4.2 writing equations in slope intercept form4.2 writing equations in slope intercept form
4.2 writing equations in slope intercept formLyndeeGovert
Β 
Latihan 8.3 Thomas (Kalkulus Integral)
Latihan 8.3 Thomas (Kalkulus Integral)Latihan 8.3 Thomas (Kalkulus Integral)
Latihan 8.3 Thomas (Kalkulus Integral)Nurkhalifah Anwar
Β 
Integral Calculas
Integral CalculasIntegral Calculas
Integral CalculasSunipa Bera
Β 
Formulas Integrales
Formulas IntegralesFormulas Integrales
Formulas IntegralesEduardo Pila
Β 
The derivatives module03
The derivatives module03The derivatives module03
The derivatives module03REYEMMANUELILUMBA
Β 
Reducible equation to quadratic form
Reducible equation to quadratic formReducible equation to quadratic form
Reducible equation to quadratic formMahrukhShehzadi1
Β 
Cauchy Eular Differential Equation
Cauchy Eular Differential EquationCauchy Eular Differential Equation
Cauchy Eular Differential EquationFahadAhmed116
Β 
Google classroom tutor
Google classroom tutorGoogle classroom tutor
Google classroom tutorMona youssef
Β 
Ecuacion diferencial de la forma u=ax+bx+c
Ecuacion diferencial de la forma u=ax+bx+cEcuacion diferencial de la forma u=ax+bx+c
Ecuacion diferencial de la forma u=ax+bx+cEduardo Pila
Β 
ANALISIS RIIL 1 3.2 ROBERT G BARTLE
ANALISIS RIIL 1 3.2 ROBERT G BARTLEANALISIS RIIL 1 3.2 ROBERT G BARTLE
ANALISIS RIIL 1 3.2 ROBERT G BARTLEMuhammad Nur Chalim
Β 
INVERSE DIFFERENTIAL OPERATOR
INVERSE DIFFERENTIAL OPERATORINVERSE DIFFERENTIAL OPERATOR
INVERSE DIFFERENTIAL OPERATORsumanmathews
Β 

What's hot (20)

Three-dimensional Face Shape by Local Features Prediction
Three-dimensional Face Shape by Local Features PredictionThree-dimensional Face Shape by Local Features Prediction
Three-dimensional Face Shape by Local Features Prediction
Β 
Bessel function
Bessel functionBessel function
Bessel function
Β 
Problem of the week no6
Problem of the week no6Problem of the week no6
Problem of the week no6
Β 
ANALISIS RIIL 1 3.3 dan 3.4 ROBERT G BARTLE
ANALISIS RIIL 1 3.3 dan 3.4 ROBERT G BARTLEANALISIS RIIL 1 3.3 dan 3.4 ROBERT G BARTLE
ANALISIS RIIL 1 3.3 dan 3.4 ROBERT G BARTLE
Β 
4.2 writing equations in slope intercept form
4.2 writing equations in slope intercept form4.2 writing equations in slope intercept form
4.2 writing equations in slope intercept form
Β 
Integral calculus
Integral calculusIntegral calculus
Integral calculus
Β 
Latihan 8.3 Thomas (Kalkulus Integral)
Latihan 8.3 Thomas (Kalkulus Integral)Latihan 8.3 Thomas (Kalkulus Integral)
Latihan 8.3 Thomas (Kalkulus Integral)
Β 
Integral Calculas
Integral CalculasIntegral Calculas
Integral Calculas
Β 
Formulas Integrales
Formulas IntegralesFormulas Integrales
Formulas Integrales
Β 
The derivatives module03
The derivatives module03The derivatives module03
The derivatives module03
Β 
Reducible equation to quadratic form
Reducible equation to quadratic formReducible equation to quadratic form
Reducible equation to quadratic form
Β 
Cauchy Eular Differential Equation
Cauchy Eular Differential EquationCauchy Eular Differential Equation
Cauchy Eular Differential Equation
Β 
Google classroom tutor
Google classroom tutorGoogle classroom tutor
Google classroom tutor
Β 
Runge Kutta Method
Runge Kutta MethodRunge Kutta Method
Runge Kutta Method
Β 
Ecuacion diferencial de la forma u=ax+bx+c
Ecuacion diferencial de la forma u=ax+bx+cEcuacion diferencial de la forma u=ax+bx+c
Ecuacion diferencial de la forma u=ax+bx+c
Β 
2
22
2
Β 
Tugas Aljabar Linear
Tugas Aljabar LinearTugas Aljabar Linear
Tugas Aljabar Linear
Β 
3
33
3
Β 
ANALISIS RIIL 1 3.2 ROBERT G BARTLE
ANALISIS RIIL 1 3.2 ROBERT G BARTLEANALISIS RIIL 1 3.2 ROBERT G BARTLE
ANALISIS RIIL 1 3.2 ROBERT G BARTLE
Β 
INVERSE DIFFERENTIAL OPERATOR
INVERSE DIFFERENTIAL OPERATORINVERSE DIFFERENTIAL OPERATOR
INVERSE DIFFERENTIAL OPERATOR
Β 

Viewers also liked

Viewers also liked (12)

Abdullah Minhas OHS-CV (1)
Abdullah Minhas OHS-CV (1)Abdullah Minhas OHS-CV (1)
Abdullah Minhas OHS-CV (1)
Β 
Visual Aids inPresentation
Visual Aids inPresentationVisual Aids inPresentation
Visual Aids inPresentation
Β 
Hyper text transfer protocol
Hyper text transfer protocolHyper text transfer protocol
Hyper text transfer protocol
Β 
Performance Improvement Project
Performance Improvement ProjectPerformance Improvement Project
Performance Improvement Project
Β 
Home massage London
Home massage LondonHome massage London
Home massage London
Β 
Personal pronoun
Personal pronounPersonal pronoun
Personal pronoun
Β 
Animation
AnimationAnimation
Animation
Β 
Feasibility Study
Feasibility StudyFeasibility Study
Feasibility Study
Β 
GABUNGAN BLACK BOX DAN GLASS BOX
GABUNGAN BLACK BOX DAN GLASS BOXGABUNGAN BLACK BOX DAN GLASS BOX
GABUNGAN BLACK BOX DAN GLASS BOX
Β 
Dyplomy kursy i szkolenia
Dyplomy kursy i szkoleniaDyplomy kursy i szkolenia
Dyplomy kursy i szkolenia
Β 
Clinton cash machine causing woes for Hillary
Clinton cash machine causing woes for HillaryClinton cash machine causing woes for Hillary
Clinton cash machine causing woes for Hillary
Β 
JoJo Maman Bebe FACEBOOK jan 16 - 17
JoJo Maman Bebe FACEBOOK jan 16 - 17JoJo Maman Bebe FACEBOOK jan 16 - 17
JoJo Maman Bebe FACEBOOK jan 16 - 17
Β 

More from Ikhlas Rahman

Working Procedure Of E-commerce
Working Procedure Of E-commerceWorking Procedure Of E-commerce
Working Procedure Of E-commerceIkhlas Rahman
Β 
Linux as an open source platform
Linux as an open source platformLinux as an open source platform
Linux as an open source platformIkhlas Rahman
Β 
Policy , Fiscal Policy and Monetary Policy
Policy , Fiscal Policy and Monetary PolicyPolicy , Fiscal Policy and Monetary Policy
Policy , Fiscal Policy and Monetary PolicyIkhlas Rahman
Β 
OSI MODEL AND ITS PROTOCOL
OSI MODEL AND ITS PROTOCOLOSI MODEL AND ITS PROTOCOL
OSI MODEL AND ITS PROTOCOLIkhlas Rahman
Β 
Geometry in real life
Geometry in real lifeGeometry in real life
Geometry in real lifeIkhlas Rahman
Β 
Addressing Modes Of 8086
Addressing Modes Of 8086Addressing Modes Of 8086
Addressing Modes Of 8086Ikhlas Rahman
Β 
3G & 4G COMMUNICATION
3G & 4G COMMUNICATION3G & 4G COMMUNICATION
3G & 4G COMMUNICATIONIkhlas Rahman
Β 
Basic concept of probability
Basic concept of probabilityBasic concept of probability
Basic concept of probabilityIkhlas Rahman
Β 
Thevenin's Theorem,Mesh analysis and sine wave Basic
Thevenin's Theorem,Mesh analysis and sine wave BasicThevenin's Theorem,Mesh analysis and sine wave Basic
Thevenin's Theorem,Mesh analysis and sine wave BasicIkhlas Rahman
Β 
Graph Basic In Data structure
Graph Basic In Data structureGraph Basic In Data structure
Graph Basic In Data structureIkhlas Rahman
Β 

More from Ikhlas Rahman (12)

Working Procedure Of E-commerce
Working Procedure Of E-commerceWorking Procedure Of E-commerce
Working Procedure Of E-commerce
Β 
Linux as an open source platform
Linux as an open source platformLinux as an open source platform
Linux as an open source platform
Β 
Policy , Fiscal Policy and Monetary Policy
Policy , Fiscal Policy and Monetary PolicyPolicy , Fiscal Policy and Monetary Policy
Policy , Fiscal Policy and Monetary Policy
Β 
OSI MODEL AND ITS PROTOCOL
OSI MODEL AND ITS PROTOCOLOSI MODEL AND ITS PROTOCOL
OSI MODEL AND ITS PROTOCOL
Β 
Geometry in real life
Geometry in real lifeGeometry in real life
Geometry in real life
Β 
Addressing Modes Of 8086
Addressing Modes Of 8086Addressing Modes Of 8086
Addressing Modes Of 8086
Β 
3G & 4G COMMUNICATION
3G & 4G COMMUNICATION3G & 4G COMMUNICATION
3G & 4G COMMUNICATION
Β 
Basic concept of probability
Basic concept of probabilityBasic concept of probability
Basic concept of probability
Β 
Transistor
Transistor Transistor
Transistor
Β 
Nuclear power
Nuclear powerNuclear power
Nuclear power
Β 
Thevenin's Theorem,Mesh analysis and sine wave Basic
Thevenin's Theorem,Mesh analysis and sine wave BasicThevenin's Theorem,Mesh analysis and sine wave Basic
Thevenin's Theorem,Mesh analysis and sine wave Basic
Β 
Graph Basic In Data structure
Graph Basic In Data structureGraph Basic In Data structure
Graph Basic In Data structure
Β 

Recently uploaded

Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17Celine George
Β 
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
Β 
Introduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxIntroduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxpboyjonauth
Β 
Full Stack Web Development Course for Beginners
Full Stack Web Development Course  for BeginnersFull Stack Web Development Course  for Beginners
Full Stack Web Development Course for BeginnersSabitha Banu
Β 
Field Attribute Index Feature in Odoo 17
Field Attribute Index Feature in Odoo 17Field Attribute Index Feature in Odoo 17
Field Attribute Index Feature in Odoo 17Celine George
Β 
DATA STRUCTURE AND ALGORITHM for beginners
DATA STRUCTURE AND ALGORITHM for beginnersDATA STRUCTURE AND ALGORITHM for beginners
DATA STRUCTURE AND ALGORITHM for beginnersSabitha Banu
Β 
Gas measurement O2,Co2,& ph) 04/2024.pptx
Gas measurement O2,Co2,& ph) 04/2024.pptxGas measurement O2,Co2,& ph) 04/2024.pptx
Gas measurement O2,Co2,& ph) 04/2024.pptxDr.Ibrahim Hassaan
Β 
Proudly South Africa powerpoint Thorisha.pptx
Proudly South Africa powerpoint Thorisha.pptxProudly South Africa powerpoint Thorisha.pptx
Proudly South Africa powerpoint Thorisha.pptxthorishapillay1
Β 
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptxMULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptxAnupkumar Sharma
Β 
Judging the Relevance and worth of ideas part 2.pptx
Judging the Relevance  and worth of ideas part 2.pptxJudging the Relevance  and worth of ideas part 2.pptx
Judging the Relevance and worth of ideas part 2.pptxSherlyMaeNeri
Β 
Roles & Responsibilities in Pharmacovigilance
Roles & Responsibilities in PharmacovigilanceRoles & Responsibilities in Pharmacovigilance
Roles & Responsibilities in PharmacovigilanceSamikshaHamane
Β 
ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...
ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...
ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...JhezDiaz1
Β 
HỌC TỐT TIαΊΎNG ANH 11 THEO CHΖ―Ζ NG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIαΊΎT - CαΊ’ NΔ‚...
HỌC TỐT TIαΊΎNG ANH 11 THEO CHΖ―Ζ NG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIαΊΎT - CαΊ’ NΔ‚...HỌC TỐT TIαΊΎNG ANH 11 THEO CHΖ―Ζ NG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIαΊΎT - CαΊ’ NΔ‚...
HỌC TỐT TIαΊΎNG ANH 11 THEO CHΖ―Ζ NG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIαΊΎT - CαΊ’ NΔ‚...Nguyen Thanh Tu Collection
Β 
ACC 2024 Chronicles. Cardiology. Exam.pdf
ACC 2024 Chronicles. Cardiology. Exam.pdfACC 2024 Chronicles. Cardiology. Exam.pdf
ACC 2024 Chronicles. Cardiology. Exam.pdfSpandanaRallapalli
Β 
EPANDING THE CONTENT OF AN OUTLINE using notes.pptx
EPANDING THE CONTENT OF AN OUTLINE using notes.pptxEPANDING THE CONTENT OF AN OUTLINE using notes.pptx
EPANDING THE CONTENT OF AN OUTLINE using notes.pptxRaymartEstabillo3
Β 
Grade 9 Q4-MELC1-Active and Passive Voice.pptx
Grade 9 Q4-MELC1-Active and Passive Voice.pptxGrade 9 Q4-MELC1-Active and Passive Voice.pptx
Grade 9 Q4-MELC1-Active and Passive Voice.pptxChelloAnnAsuncion2
Β 

Recently uploaded (20)

Model Call Girl in Tilak Nagar Delhi reach out to us at πŸ”9953056974πŸ”
Model Call Girl in Tilak Nagar Delhi reach out to us at πŸ”9953056974πŸ”Model Call Girl in Tilak Nagar Delhi reach out to us at πŸ”9953056974πŸ”
Model Call Girl in Tilak Nagar Delhi reach out to us at πŸ”9953056974πŸ”
Β 
Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17Computed Fields and api Depends in the Odoo 17
Computed Fields and api Depends in the Odoo 17
Β 
OS-operating systems- ch04 (Threads) ...
OS-operating systems- ch04 (Threads) ...OS-operating systems- ch04 (Threads) ...
OS-operating systems- ch04 (Threads) ...
Β 
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
Β 
Introduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxIntroduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptx
Β 
Full Stack Web Development Course for Beginners
Full Stack Web Development Course  for BeginnersFull Stack Web Development Course  for Beginners
Full Stack Web Development Course for Beginners
Β 
Field Attribute Index Feature in Odoo 17
Field Attribute Index Feature in Odoo 17Field Attribute Index Feature in Odoo 17
Field Attribute Index Feature in Odoo 17
Β 
DATA STRUCTURE AND ALGORITHM for beginners
DATA STRUCTURE AND ALGORITHM for beginnersDATA STRUCTURE AND ALGORITHM for beginners
DATA STRUCTURE AND ALGORITHM for beginners
Β 
Gas measurement O2,Co2,& ph) 04/2024.pptx
Gas measurement O2,Co2,& ph) 04/2024.pptxGas measurement O2,Co2,& ph) 04/2024.pptx
Gas measurement O2,Co2,& ph) 04/2024.pptx
Β 
Proudly South Africa powerpoint Thorisha.pptx
Proudly South Africa powerpoint Thorisha.pptxProudly South Africa powerpoint Thorisha.pptx
Proudly South Africa powerpoint Thorisha.pptx
Β 
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptxMULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
MULTIDISCIPLINRY NATURE OF THE ENVIRONMENTAL STUDIES.pptx
Β 
Judging the Relevance and worth of ideas part 2.pptx
Judging the Relevance  and worth of ideas part 2.pptxJudging the Relevance  and worth of ideas part 2.pptx
Judging the Relevance and worth of ideas part 2.pptx
Β 
Model Call Girl in Bikash Puri Delhi reach out to us at πŸ”9953056974πŸ”
Model Call Girl in Bikash Puri  Delhi reach out to us at πŸ”9953056974πŸ”Model Call Girl in Bikash Puri  Delhi reach out to us at πŸ”9953056974πŸ”
Model Call Girl in Bikash Puri Delhi reach out to us at πŸ”9953056974πŸ”
Β 
Roles & Responsibilities in Pharmacovigilance
Roles & Responsibilities in PharmacovigilanceRoles & Responsibilities in Pharmacovigilance
Roles & Responsibilities in Pharmacovigilance
Β 
ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...
ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...
ENGLISH 7_Q4_LESSON 2_ Employing a Variety of Strategies for Effective Interp...
Β 
HỌC TỐT TIαΊΎNG ANH 11 THEO CHΖ―Ζ NG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIαΊΎT - CαΊ’ NΔ‚...
HỌC TỐT TIαΊΎNG ANH 11 THEO CHΖ―Ζ NG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIαΊΎT - CαΊ’ NΔ‚...HỌC TỐT TIαΊΎNG ANH 11 THEO CHΖ―Ζ NG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIαΊΎT - CαΊ’ NΔ‚...
HỌC TỐT TIαΊΎNG ANH 11 THEO CHΖ―Ζ NG TRÌNH GLOBAL SUCCESS ĐÁP ÁN CHI TIαΊΎT - CαΊ’ NΔ‚...
Β 
ACC 2024 Chronicles. Cardiology. Exam.pdf
ACC 2024 Chronicles. Cardiology. Exam.pdfACC 2024 Chronicles. Cardiology. Exam.pdf
ACC 2024 Chronicles. Cardiology. Exam.pdf
Β 
EPANDING THE CONTENT OF AN OUTLINE using notes.pptx
EPANDING THE CONTENT OF AN OUTLINE using notes.pptxEPANDING THE CONTENT OF AN OUTLINE using notes.pptx
EPANDING THE CONTENT OF AN OUTLINE using notes.pptx
Β 
Grade 9 Q4-MELC1-Active and Passive Voice.pptx
Grade 9 Q4-MELC1-Active and Passive Voice.pptxGrade 9 Q4-MELC1-Active and Passive Voice.pptx
Grade 9 Q4-MELC1-Active and Passive Voice.pptx
Β 
9953330565 Low Rate Call Girls In Rohini Delhi NCR
9953330565 Low Rate Call Girls In Rohini  Delhi NCR9953330565 Low Rate Call Girls In Rohini  Delhi NCR
9953330565 Low Rate Call Girls In Rohini Delhi NCR
Β 

special Type Of integral

  • 2. The problem I would like to present, 𝑑𝑧 ∫ 𝑑π‘₯ π‘₯ + 2 π‘₯ βˆ’ 1 Therefore, =) π‘₯ βˆ’ 1 = 𝑧 =)π‘₯ βˆ’ 1 = 𝑧2 =) π‘₯ = 𝑧2 + 1 =) 𝑑 𝑑π‘₯ (π‘₯ βˆ’ 1) = 𝑑 𝑑π‘₯ . 𝑧2 =) 1βˆ’ 0 =2𝑧. TYPE-1:
  • 3. Let, 𝐼 = ∫ 2𝑧. 𝑑𝑧 𝑧2 + 1 + 2 𝑧 = 2∫ 𝑑𝑧 𝑧2 + 3 = 𝑑𝑧 𝑧2 + 3 2 =2. 1 π‘Ž . tanβˆ’1 𝑧 3 + 𝑐 (solved)
  • 4. The problem I would like to present, ∫ 𝐝𝐱 𝐱 + 𝟏 𝐱 + πŸ“ =)𝒙 βˆ’ 𝟏 = 𝒛 𝟐 =)𝒅𝒙 = πŸπ’›. 𝒅𝒛 Let, 𝑰 = ∫ πŸπ’›. 𝒅𝒛 𝒛 𝟐 . 𝒛 𝟐 + 𝟏 + πŸ“ =∫ πŸπ’›. 𝒅𝒛 𝒛 𝒛 𝟐+πŸ” =∫ πŸπ’›. 𝒅𝒛 𝒛 𝒛 𝟐+πŸ” = ∫ 𝒅𝒛/ 𝒛 𝟐 + πŸ” 𝟐 = 𝟐 π’π’π’ˆ{𝒛 + 𝒛 𝟐 + πŸ” 𝟐 𝑨𝒏𝒔 TYPE 2: