Evaluate the integral? : int e^(2x)/(1+e^(2x))^2 dx
1 Answer
Feb 1, 2017
int \ e^(2x)/(1+e^(2x))^2 \ dx = -1/(2(1+e^(2x))) + C
Explanation:
We want to find;
int \ e^(2x)/(1+e^(2x))^2 \ dx
Let
Substituting into the integral we get:
int \ e^(2x)/(1+e^(2x))^2 \ dx = int \ (1/2)/u^2 \ du
" " = 1/2int \ 1/u^2 \ du
" " = -1/2 1/u + C
" " = -1/(2(1+e^(2x))) + C