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Indefinite Integrals question

2018 · Shift 0 · Q39

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2018 · Shift 0 · Q39

Indefinite Integrals question

2018 · Shift 0 · Q39

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

The integral

\int {{{{{\sin }^2}x{{\cos }^2}x} \over {{{\left( {{{\sin }^5}x + {{\cos }^3}x{{\sin }^2}x + {{\sin }^3}x{{\cos }^2}x + {{\cos }^5}x} \right)}^2}}}} dx

is equal to

A
${{ - 1} \over {1 + {{\cot }^3}x}} + C$
B
${1 \over {3\left( {1 + {{\tan }^3}x} \right)}} + C$
C
${{ - 1} \over {3\left( {1 + {{\tan }^3}x} \right)}} + C$
D
${1 \over {1 + {{\cot }^3}x}} + C$

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