If … and …, then … is equal to :

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Indefinite Integrals

JEE Main 2023 · 10 Apr, Morning shift · Q3996

MathematicsMedium64×since 2004Q3996

I(x) = \int {{e^{{{\sin }^2}x}}(\cos x\sin 2x - \sin x)dx}

and

I(0) = 1

, then

I\left( {{\pi \over 3}} \right)

is equal to :

JEE Main 2023 · 10 Apr, Morning shift · Q3996

MathematicsMedium64×since 2004Q3996

I(x) = \int {{e^{{{\sin }^2}x}}(\cos x\sin 2x - \sin x)dx}

and

I(0) = 1

, then

I\left( {{\pi \over 3}} \right)

is equal to :