JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{\left(x-x^5\right)^{1 / 5}}{x^6} d x

is equal to

View answer and explanation

Correct option: C

-\frac{5}{24}\left(\frac{1}{x^4}-1\right)^{6 / 5}+C

Option C is correct because the integral is solved using a substitution method, resulting in the given expression with a fractional exponent.

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