What is the integral from-10 to 10 of xe^{-x^8} ?

The integral from-10 to 10 of xe^{-x^8} is 0

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integral from-10 to 10 of xe^{-x^8}

\int_{- 10}^{10} x e^{- x^{8}} d x

0

Solution steps

\int_{- 10}^{10} x e^{- x^{8}} 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^{8}} :

Odd

= 0

sin (\frac{x}{2})

\frac{( x + 3 )}{x ^{2} - 4}

(9 x^{2} + y - 1) d x - (4 y - x) d y = 0

\frac{\partial}{\partial x} (1 + ln (x) + \frac{y}{x})

x \to \infty lim (\frac{ln ( x )}{3 x})

What is the integral from-10 to 10 of xe^{-x^8} ?
The integral from-10 to 10 of xe^{-x^8} is 0