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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫1{(x−1)3  (x+2)5}1/4dx\int \frac{1}{{{{\left\{ {{{\left( {x - 1} \right)}^3}\,\,{{\left( {x + 2} \right)}^5}} \right\}}^{1/4}}}}dx is equal to
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Correct option: A
43  (x  −  1x  +  2)1/4+  C\frac{4}{3}\,\,{\left( {\frac{{x\,\, - \,\,1}}{{x\,\, + \,\,2}}} \right)^{1/4}} + \,\,C
Option A is correct because the integral simplifies to a form where the power rule can be applied after a suitable substitution.

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