What is the integral from-1 to 1 of xe^{-x^2} ?

The integral from-1 to 1 of xe^{-x^2} is 0

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integral from-1 to 1 of xe^{-x^2}

\int_{- 1}^{1} x e^{- x^{2}} d x

0

Solution steps

\int_{- 1}^{1} x e^{- x^{2}} d x

If f(x) is an odd function and continuous at:

[- a, a]

then

\int_{- a}^{a} f (x) d x = 0

Parity of

x e^{- x^{2}} :

Odd

= 0

\int_{0}^{\frac{π}{3}} cos^{2} (θ) d θ

\int_{- 8}^{1} x^{- \frac{2}{3}} d x

\int_{- 1}^{3} (3 x^{2} - x - 6) d x

\int_{0}^{1} 7 x^{3} 1 - x^{2} d x

\int_{4}^{1} x d x

What is the integral from-1 to 1 of xe^{-x^2} ?
The integral from-1 to 1 of xe^{-x^2} is 0