What is the integral from-pi to pi of xcos^2(x) ?

The integral from-pi to pi of xcos^2(x) is 0

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integral from-pi to pi of xcos^2(x)

\int_{- π}^{π} x cos^{2} (x) d x

0

Solution steps

\int_{- π}^{π} x cos^{2} (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^{2} (x) :

Odd

= 0

\int_{0}^{1} x a x^{a - 1} d x

\int_{0}^{3} (9 - x^{2})^{\frac{3}{2}} d x

\int_{- 3}^{- 1} (2 t + 5) d t

\int_{- \infty}^{0} x e^{\frac{x}{2}} d x

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

What is the integral from-pi to pi of xcos^2(x) ?
The integral from-pi to pi of xcos^2(x) is 0