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

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\int_{0}^{\frac{π}{2}} 2 sin^{2} (\frac{x}{2}) d x

\int_{- 4}^{- 3} x^{2} - 2 x - 15 d x

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

\int_{1}^{3} \frac{3}{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