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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
The integral ∫1(xβˆ’1)3(x+2)54  dx\int {\frac{1}{{\sqrt[4]{{{{(x - 1)}^3}{{(x + 2)}^5}}}}}} \,\,dx is equal to (where CC is a constant for integration)
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Correct option: C
43(xβˆ’1x+2)1/4+C\frac{4}{3}{\left( {\frac{{x - 1}}{{x + 2}}} \right)^{1/4}} + C
Option C (43(xβˆ’1x+2)1/4+C\frac{4}{3}{\left( {\frac{{x - 1}}{{x + 2}}} \right)^{1/4}} + C) is correct because it is the result of the integration after a suitable substitution.

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