JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \frac{x}{1+x^4} d x=

View answer and explanation

Correct option: B

\frac{1}{2} \tan ^{-1} x^2+c

Option B is correct because substituting

t = x^2

transforms the integral to

\frac{1}{2} \int \frac{1}{1 + t^2} dt

, which equals

\frac{1}{2} \tan^{-1} t + c = \frac{1}{2} \tan^{-1} x^2 + c

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