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

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

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

\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_{- π}^{π} x sin^{2} (x) d x

\int_{0}^{1} 2 x^{3} - 6 x^{2} + 4 x d x

\int_{2}^{4} 8 x ln (x) d x

\int_{- 27}^{1} \frac{4}{3 x} d x

\int_{0}^{x} \frac{1}{2 + sin ( t )} d t

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