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Definite Integration question

2020 · 4 Sep · Shift 2 · Q25

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PYQ Library
JEE Main
Mathematics
Definite Integration
2020 · 4 Sep · Shift 2 · Q25

Definite Integration question

2020 · 4 Sep · Shift 2 · Q25

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The integral

\int\limits_{{\pi \over 6}}^{{\pi \over 3}} {{{\tan }^3}x.{{\sin }^2}3x\left( {2{{\sec }^2}x.{{\sin }^2}3x + 3\tan x.\sin 6x} \right)dx}

is equal to:

A
$- {1 \over {9}}$
B
$- {1 \over {18}}$
C
${7 \over {18}}$
D
${9 \over 2}$

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