Another e integration: xe^ (-x^2)

x times e to the negative x squared

Question

Mathematics

Xiomara Malone

21 April, 08:01

Another e integration: xe^ (-x^2)

x times e to the negative x squared

+5

Answers (1)

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Brody Casey · Answer 1

+∞

∫ x · e ^ (-x²) dx = / The substitution: u = - x², x d x = - du / 2

-∞

+∞

= - 1/2 · ∫ e ^ (u) du = - 1/2 · e ^ (-x²) /

- ∞

e^ (-∞) = 1 / e^ (∞)

= - 1/2 · [ 1 / e^ (∞) - 1 / e^ (∞) ] = - 1/2 · (0 - 0) = 0

Another e integration: xe^ (-x^2)x times e to the negative x squared

Another e integration: xe^ (-x^2)

x times e to the negative x squared