What is the integral from-pi to pi of x^3cos(x) ?

The integral from-pi to pi of x^3cos(x) is 0

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integral from-pi to pi of x^3cos(x)

\int_{- π}^{π} x^{3} cos (x) d x

0

Solution steps

\int_{- π}^{π} x^{3} 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^{3} cos (x) :

Odd

= 0

\int_{0}^{\frac{π}{2}} 5 sin (\frac{x}{2}) d x

\int_{0}^{π} x^{2} \cdot cos (n x) d x

\int_{0}^{x^{2}} cos (x^{2}) d x

\int_{- π}^{π} cos (\frac{x}{2}) d x

\int_{0}^{3} 3^{4 x} d x

What is the integral from-pi to pi of x^3cos(x) ?
The integral from-pi to pi of x^3cos(x) is 0