What is the integral from-3 to 3 of x^7 ?

The integral from-3 to 3 of x^7 is 0

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integral from-3 to 3 of x^7

\int_{- 3}^{3} x^{7} d x

0

Solution steps

\int_{- 3}^{3} x^{7} 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^{7} :

Odd

= 0

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