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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
1 of 1
Application +4 | -1
∫dxex−1=\int \frac{d x}{e^x-1}=
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Correct option: A
ln⁡(1−e−x)+c\ln \left(1-e^{-x}\right)+c
Option A is correct because the integral of 1ex−1\frac{1}{e^x-1} can be solved by rewriting the integrand as e−x1−e−x\frac{e^{-x}}{1-e^{-x}} and using substitution.

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