(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find ∫e^x/ (1+e^2x). dx , with limits ln 2 & 0

given u= e^x

2. Relevant equations

3. The attempt at a solution

u= e^x

du/dx = e^x

dx= du/e^x

sub limits of ln2 & 0 → u

Hence, limits 2 & 1

Therefore,

∫u* (1+e^2x)^-1* du/e^x

= ∫ u/ (u + e^3x)

= ∫ u/ e^3x

= ∫ 1/e^2x

= -e^-x

= -1/u

plugging in limits of 2 &1

Therefore, 0.2325...

Although i could not find this on the answer sheet did i do something wrong?

Please help, Thankyou.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: How do I Integrate this! u substitution with limits.

**Physics Forums | Science Articles, Homework Help, Discussion**