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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫2(ex+e−x)2dx\int \frac{2}{\left(e^x+e^{-x}\right)^2} d x is equal to
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Correct option: A
−e−xex+e−x+C\frac{-e^{-x}}{e^x+e^{-x}}+C
Option A (−e−xex+e−x+C\frac{-e^{-x}}{e^x+e^{-x}}+C) is correct because after simplifying the integral, the result matches this option.

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