If I(x) = ∫ e^(sin²x)(cos x.... | JEE Main 2023

JEE MAIN 2023

10-04-23 S1

Question

If $I(x)=\int e^{\sin 2} x(\cos x \sin 2 x-\sin x) d x$ and $I(0)=1$, then $I\left(\frac{\pi}{3}\right)$ is equal to

Select the correct option:

$-\frac{1}{2} e^{\frac{3}{4}}$

$e^{\frac{3}{4}}$

$-\frac{1}{2} e^{\frac{3}{4}}$

$-e^{\frac{3}{4}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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