JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The integral

\int \frac{\mathrm{dx}}{(x+1)^{\frac{3}{4}}(x-2)^{\frac{5}{4}}}

is equal to:

View answer and explanation

Correct option: B

4\left(\frac{x+1}{x-2}\right)^{\frac{1}{4}}+C

Option B (

4\left(\frac{{x+1}}{{x-2}}\right)^{\frac{{1}}{{4}}}+C

) is correct because the integral can be solved by substitution, letting

t = \frac{{x+1}}{{x-2}}

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