If I(x) = ∫ e^(sin ²x)(cos x sin 2x - sin x)dx and I(0) = 1, then I((π)/3) is equal to:

Integral Calculus: JEE Main 2023 Mathematics question

JEE Main 2023 · 10 Apr, Morning shift · Q3996

JEE Main 202310 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

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

JEE Main 202310 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

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 :