What is the integral from-10 to 10 of (ax^7+bx^5+cx) ?

The integral from-10 to 10 of (ax^7+bx^5+cx) is 0

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integral from-10 to 10 of (ax^7+bx^5+cx)

\int_{- 10}^{10} (a x^{7} + b x^{5} + c x) d x

0

Solution steps

\int_{- 10}^{10} a x^{7} + b x^{5} + c x 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

a x^{7} + b x^{5} + c x :

Odd

= 0

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What is the integral from-10 to 10 of (ax^7+bx^5+cx) ?
The integral from-10 to 10 of (ax^7+bx^5+cx) is 0