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Integral Calculus> Integrate ∫[ 1 / e x + 1] dx

question mark

Integrate∫[ 1 / ex + 1] dx

Lovey , 10 Years ago

Grade 12

1 Answers

Jitender Singh

Last Activity: 10 Years ago

Ans:
Hello Student,
Please find answer to your question below

$I = \int \frac{1}{e^{x} + 1}dx$
$I = \int \frac{e^{x} + 1 - e^{x}}{e^{x} + 1}dx$
$I = \int (1 - \frac{e^{x}}{e^{x} + 1})dx$
$I = x - log(e^{x}+1) + c$
$I = log(e^{x}) - log(e^{x}+1) + c$
$I = log(\frac{e^{x}}{e^{x} + 1}) + c$

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