What is the integral from-1 to 1 of xe^{x^4} ?

The integral from-1 to 1 of xe^{x^4} is 0

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integral from-1 to 1 of xe^{x^4}

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

0

Solution steps

\int_{- 1}^{1} x e^{x^{4}} 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^{4}} :

Odd

= 0

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\int_{- 2}^{2} 4 + x^{2} d x

What is the integral from-1 to 1 of xe^{x^4} ?
The integral from-1 to 1 of xe^{x^4} is 0