Mathematics · 2018
JEE Main · 15 April 2018, Shift 2 · Q76
If I_1=∫_0^1 e^-x cos^2 x d x; I_2=∫_0^1 e^-x^2 cos^2 x d x and I_3=∫_0^1 e^-x^3 d x; then:
$$\begin{aligned}
& \text { If } I_1=\int_0^1 e^{-x} \cos ^2 x d x \\
& I_2=\int_0^1 e^{-x^2} \cos ^2 x d x \text { and } \\
& I_3=\int_0^1 e^{-x^3} d x ; \text { then }:
\end{aligned}
$$
Official answer
(3)
$\displaystyle \mathrm{I}_3>\mathrm{I}_2>\mathrm{I}_1$
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JEE Main 2018 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.