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Indefinite Integrals question

2021 · 31 Aug · Shift 1 · Q28

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2021 · 31 Aug · Shift 1 · Q28

Indefinite Integrals question

2021 · 31 Aug · Shift 1 · Q28

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

The integral

\int {{1 \over {\sqrt[4]{{{(x - 1)}^3}{{(x + 2)}^5}} }}} \,dx

is equal to : (where C is a constant of integration)

A
${3 \over 4}{\left( {{{x + 2} \over {x - 1}}} \right)^{{1 \over 4}}} + C$
B
${3 \over 4}{\left( {{{x + 2} \over {x - 1}}} \right)^{{5 \over 4}}} + C$
C
${4 \over 3}{\left( {{{x - 1} \over {x + 2}}} \right)^{{1 \over 4}}} + C$
D
${4 \over 3}{\left( {{{x - 1} \over {x + 2}}} \right)^{{5 \over 4}}} + C$

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