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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫etan⁡−1x(1+x+x21+x2)dx\int e^{\tan ^{-1} x}\left(\frac{1+x+x^2}{1+x^2}\right) d x is equal to
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Correct option: A
xetan⁡−1x+cx e^{\tan ^{-1} x}+c
Option A (xetan⁡−1x+cx e^{\tan ^{-1} x}+c) is correct because it is the result of integrating the given expression using substitution and integration by parts.

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