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sg001
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Homework Statement
Find ∫e^x/ (1+e^2x). dx , with limits ln 2 & 0
given u= e^x
Homework Equations
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.