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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫dxex+1−2e−x=\int \frac{d x}{e^x+1-2 e^{-x}}=
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Correct option: C
13log⁡(ex−1)−13log⁡(ex+2)+c\frac{1}{3} \log \left(e^x-1\right)-\frac{1}{3} \log \left(e^x+2\right)+c
Option A is correct because the integral is solved by multiplying the numerator and denominator by exe^x, then substituting t=ext = e^x, and using partial fraction decomposition.

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