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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫e−xcosec⁡2(2e−x+5)dx=\int e^{-x} \operatorname{cosec}^2\left(2 e^{-x}+5\right) d x=
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Correct option: A
12cot⁡(2e−x+5)+c\frac{1}{2} \cot \left(2 e^{-x}+5\right)+c
Option A (12cot⁡(2e−x+5)+c\frac{1}{2} \cot \left(2 e^{-x}+5\right)+c) is correct because it is the result of integrating the given expression using substitution.

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