JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int \frac{e^x d x}{\left(\sin e^x+e^{-x} \cos e^x\right)^2}

is equal to

View answer and explanation

Correct option: A

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

Option A (

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

) is correct because it is the result of integrating the given expression using substitution and trigonometric identities.

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