The integral ∫ 1/⁴√((x−1)³(x+2)⁵) dx is equal to... | Integration

JEE MAIN 2021

31-08-2021 S1

Question

The integral $\int \frac{1}{\sqrt[4]{(x-1)^3(x+2)^5}} d x$ is equal to :

Select the correct option:

$\frac{3}{4}\left(\frac{x+2}{x-1}\right)^{\frac{1}{4}}+C$

$\frac{3}{4}\left(\frac{x+2}{x-1}\right)^{\frac{5}{4}}+C$

$\frac{4}{3}\left(\frac{x-1}{x+2}\right)^{\frac{1}{4}}+C$

$\frac{4}{3}\left(\frac{x-1}{x+2}\right)^{\frac{5}{4}}+C$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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