What is the integral from-e to e of x^3e^{x^6} ?

The integral from-e to e of x^3e^{x^6} is 0

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integral from-e to e of x^3e^{x^6}

\int_{- e}^{e} x^{3} e^{x^{6}} d x

0

Solution steps

\int_{- e}^{e} x^{3} e^{x^{6}} 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^{3} e^{x^{6}} :

Odd

= 0

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What is the integral from-e to e of x^3e^{x^6} ?
The integral from-e to e of x^3e^{x^6} is 0