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
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
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)
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