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Integral Calculus> evaluate the following integral ∫ a / b +...

question mark

evaluate the following integral
∫ a / b + ce^x dx

taniska , 11 Years ago

Grade 12

1 Answers

Jitender Singh

Ans:
Hello student,
Please find the answer to your question below

$I = \int \frac{a}{b+ce^{x}}dx$
$I = \int \frac{ae^{-x}}{be^{-x}+c}dx$
$be^{-x}+c = t$
$-be^{-x}dx = dt$
$I = -\frac{a}{b}\int \frac{1}{t}dt$
$I = -\frac{a}{b}log(t) + d$
$I = -\frac{a}{b}log(be^{-x}+c) + d$

Last Activity: 11 Years ago

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