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Black Advanced Problems in Mathematics

Exam: Black Advanced Problems in Mathematics
Subject: Mathematics
Chapter: Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

If ∫_0^1 e^ -x^2 dx = a , then ∫_0^1 x^2 e^ -x^2 dx is equal to

If

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

, then

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

is equal to

Options

A $\frac{1}{2e} (ea - 1)$
B $\frac{1}{2e} (ea + 1)$
C $\frac{1}{e} (ea - 1)$
D $\frac{1}{e} (ea + 1)$

Correct answer

A. $\frac{1}{2e} (ea - 1)$

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