JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int e^{\tan ^{-1} x}\left(1+\frac{x}{1+x^2}\right) d x

is equal to

View answer and explanation

Correct option: C

x e^{\tan ^{-1} x}+C

Option C (

x e^{\tan ^{-1} x}+C

) is correct because the integral simplifies to this form after substitution and recognizing the pattern of

e^x(f(x) + f'(x))

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