The integral … is equal to:

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Definite Integration

JEE Main 2020 · 4 Sep, Evening shift · Q3381

MathematicsMedium210×since 2002Q3381

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:

JEE Main 2020 · 4 Sep, Evening shift · Q3381

MathematicsMedium210×since 2002Q3381

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: