6.1 Integration by Parts
[
&& ( few) gens)] = orya: + farigins → Ha (ter) us)} de=
f(x)
7
t
untas vegans ([tus grow + f (xyer)] Cy
fary)=Sudut Sudu
Sudu = uv - Svdn
Ex. Gabe She) dx -xx-x
show
Derivatives
IL
09
I inverse trig
Algebra
T
rig
use) dv=da shaxdx=x\mx- (as Integral Exponents
Just √=X
<h x-x + c
for. &cduate Sex cos(x) cx
dx
u= 2x du=cosces
als=$imus
(wis et du=sin(x)
Set cose) dx = &* sin(a) - {\since dx ; V = -coron
= 2 * sin(k) - fe* cos(x) +) (os (*) ex√(x)
Sex cos(x) dx = c* sin(x) + e* cos(x) - (cos(x)e^ cx
2 Sex cos(x) dx = ex sin(x) te *cos(x)
b
Set cos(x) dx = e* since) + c * cos(E)
Šetros(k)
2
{wide with hirde
Savdu
+C
De nite integration
by jurts
fi fl
[
&& ( few) gens)] = orya: + farigins → Ha (ter) us)} de=
f(x)
7
t
untas vegans ([tus grow + f (xyer)] Cy
fary)=Sudut Sudu
Sudu = uv - Svdn
Ex. Gabe She) dx -xx-x
show
Derivatives
IL
09
I inverse trig
Algebra
T
rig
use) dv=da shaxdx=x\mx- (as Integral Exponents
Just √=X
<h x-x + c
for. &cduate Sex cos(x) cx
dx
u= 2x du=cosces
als=$imus
(wis et du=sin(x)
Set cose) dx = &* sin(a) - {\since dx ; V = -coron
= 2 * sin(k) - fe* cos(x) +) (os (*) ex√(x)
Sex cos(x) dx = c* sin(x) + e* cos(x) - (cos(x)e^ cx
2 Sex cos(x) dx = ex sin(x) te *cos(x)
b
Set cos(x) dx = e* since) + c * cos(E)
Šetros(k)
2
{wide with hirde
Savdu
+C
De nite integration
by jurts
fi fl