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

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

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

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

0

Solution steps

\int_{- 1}^{1} 2 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

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

Odd

= 0

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\int_{0}^{1} 2 x x^{2} + 1 d x

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