JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int\limits_{0}^1 e^{-x^2} d x=a

, then

\int\limits_{0}^1 x^2 e^{-x^2} d x

is equal to

View answer and explanation

Correct option: A

\frac{1}{2 e}(e a-1)

Option A (

\frac{1}{{2e}}(ea - 1)

) is correct because using integration by parts, the integral

\int_0^1 x^2 e^{-x^2} dx

can be expressed in terms of

\int_0^1 e^{-x^2} dx = a

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