find antiderivative 1/(1+e^x)?

tell me steps pls.

SUBRAHMANYAM KV2011-01-19T22:47:49Z

Favorite Answer

∫1/(1+e^x) dx = ∫ e^-x /(1+e^-x) dx = - ln (1+e^-x) = ln (1/(1+e^-x) +c

chelsea2011-01-20T06:33:44Z

24

STUDY2011-01-20T06:47:41Z

=Intergration { (1+e^x) / (1+e^x) - e^x/(1+e^x) } dx
Let e^x=y =Integration { 1 dx - 1/y dy }
=x - ln y +C
=x - ln (1 +e^x ) +C