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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫dxe−2x(e2x+1)2=\int \frac{d x}{e^{-2 x}\left(e^{2 x}+1\right)^2}=
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Correct option: A
−12(e2x+1)+c\frac{-1}{2\left(e^{2 x}+1\right)}+c
Option A (−12(e2x+1)+c\frac{-1}{2\left(e^{2 x}+1\right)}+c) is correct because the integral simplifies to this form after substitution.

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