What is the integral from-pi to pi of x^5cos(x) ?

The integral from-pi to pi of x^5cos(x) is 0

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integral from-pi to pi of x^5cos(x)

\int_{- π}^{π} x^{5} cos (x) d x

0

Solution steps

\int_{- π}^{π} x^{5} cos (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

x^{5} cos (x) :

Odd

= 0

\int_{1}^{a} x^{2} d x

\int_{0}^{1} x^{18} + 1 8^{x} d x

\int_{- 1}^{4} x^{2} + x - 6 d x

\int_{1}^{5} (\frac{3}{x}) d x

\int_{0}^{1} e^{10 x - 9} d x

What is the integral from-pi to pi of x^5cos(x) ?
The integral from-pi to pi of x^5cos(x) is 0