JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

I_1=\int\limits_{0}^1 e^{-x} \cos ^2 x d x ; I_2=\int\limits_{0}^1 e^{-x^2} \cos ^2 x d x

and

I_3=\int\limits_{0}^1 e^{-x^3}

d x ;

then

View answer and explanation

Correct option: D

I_3 > I_2 > I_1

Option D (

I_3 > I_2 > I_1

) is correct because the inequality

e^{-x^3} > e^{-x^2} > e^{-x}

holds for

x \in (0,1)

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