JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int\left(e^x+e^{-x}\right)^2 \cdot\left(e^x-e^{-x}\right) d x

is equal to

View answer and explanation

Correct option: D

\frac{1}{3}\left(e^x+e^{-x}\right)^3+C

Option D (

\frac{{1}}{{3}}\left(e^x+e^{-x}\right)^3+C

) is correct because by substituting

t = e^x + e^{-x}

, the integral simplifies to

\frac{{1}}{{3}}t^3 + C

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