JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int {\frac{{{x^3}}}{{1 + {x^8}}}dx}

is equal to

View answer and explanation

Correct option: A

\frac{1}{4}{\tan ^{ - 1}}{x^4} + c

Option A (

\frac{1}{4}{\tan ^{ - 1}}{x^4} + c

) is correct because after a simple substitution, the integral transforms into a standard arctangent integral.

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