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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The value of ∫  1[(x−1)3  (x+2)5]1/4    dx\int \,\,\frac{1}{{{{\left[ {{{\left( {x - 1} \right)}^3}\,\,{{\left( {x + 2} \right)}^5}} \right]}^{1/4}}}}\,\,\;dx is
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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 (43(x−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 evaluating the indefinite integral using substitution.

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