Question

integrate: 4/((1-x)(1+x)^2)

Answer 1

\[\int\limits_{}^{} 4/(1-x)(1+x)^{2}\]

Answer 2

make partial fractions.

Answer 3

oh yeah!thank you! i never think of partial fraction :/ i'll work on it now

Answer 4

can i take the constant out?

Answer 5

\[4\int\limits_{}^{}1/(1-x)(x+1)^{2}\]

Answer 6

should be easy
http://www.mathsisfun.com/algebra/partial-fractions.html

Answer 7

http://tutorial.math.lamar.edu/Classes/CalcII/PartialFractions_files/eq0009M.gif

Answer 8

thanks :)

Answer 9

i found A=1 but got nothing for B and C

Answer 10

i used linear system by say x=1, x=-1 and x=0

Answer 11

Find A B and C

\[ \frac{4}{((1-x)(1+x)^2)}\ = \frac{A}{(1-x)} + \frac{B}{(1+x)} + \frac{C}{(1+x)^2} \]