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

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

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

\int_{- π}^{π} x cos^{3} (x) d x

0

Solution steps

\int_{- π}^{π} x cos^{3} (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 cos^{3} (x) :

Odd

= 0

\int_{1}^{2} 8 x e^{x^{2} + 2} d x

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

\int_{0}^{5} ∣ 3 x - 8 ∣ d x

\int_{- 1}^{3} (2 x - x^{2}) d x

\int_{1}^{2} x e^{- x^{2} + 1} d x

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