Mathematics · 2023
JEE Main · 10 April 2023, Shift 1 · Q8
If I(x)=∫ e^sin^2 x( cos x sin 2 x- sin x) d x and I(0)=1, then I((π)/3) is equal to
If $\displaystyle I(x)=\int e^{\sin ^2 x}(\cos x \sin 2 x-\sin x) d x$ and $\displaystyle I(0)=1$, then $\displaystyle I\left(\frac{\pi}{3}\right)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle \frac{1}{2} e^{\frac{3}{4}}$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.