JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \frac{1}{x^{1 / 5}\left(1+x^{4 / 5}\right)^{1 / 2}} d x

, is

View answer and explanation

Correct option: B

\frac{5}{2} \sqrt{1+x^{4 / 5}}+C

Option B (

\frac{{5}}{{2}} \sqrt{{1+x^{4 / 5}}}+C

) is correct because it is the result of the integration after appropriate substitution.

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