JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

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

is equal to

View answer and explanation

Correct option: A

\frac{4}{15}\left(1-\frac{1}{x^3}\right)^{5 / 4}+c

Option A (

\frac{{4}}{{15}}\left(1-\frac{{1}}{{x^3}}\right)^{{5 / 4}}+c

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

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