JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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\int \frac{x^{e-1}+e^{x-1}}{x^e+e^x} d x=

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Correct option: C

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

Option C (

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

) is correct because the derivative of the denominator is a constant multiple of the numerator.

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