JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int {\frac{{{{\text{e}}^{x - 1}} + {x^{e - 1}}}}{{{{\text{e}}^x} + x{{\text{e}}^x}}}} {\text{dx}}

is equal to

View answer and explanation

Correct option: A

\frac{1}{e} \ln \left(x^2+e^x\right)+c

Option A (

\frac{1}{e} \ln \left(x^2+e^x\right)+c

) is correct because differentiating this option yields the integrand after simplification.

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