Integrate #(1-x)/(1+x)^2#?
2 Answers
Explanation:
This is done by using partial fractions.
Let
and comparing coefficients on both sides, we get
Hence,
=
=
Seperate numerators
lets call these terms as,
,
Now we will evaluate
this is a simple integration,
Integration of
now,
as
NOW as per above,
L=
L=
Ahh,L is solved now :)!
Now lets deal with M,
we will solve M with Substitution,
now,lets take
{Why not x=t???? Because taking x=t will not do any thing good to
M as M will show as
Now as
(1+x)=t
diffrentiating,
Now,
M=
Seperating denominator as we did initially,
M=
M=(
Integration of
To integrate M,
M=
M=
M=
Now to write the answer in tems of x
so,1+x=t
M=
Add
L-M
YOu got the answer,