(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.

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

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