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

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

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integral from-pi to pi of x*cos(x)

\int_{- π}^{π} x \cdot cos (x) d x

0

Solution steps

\int_{- π}^{π} x 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 cos (x) :

Odd

= 0

\int_{0}^{3} x - 2 d x

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

\int_{1}^{e} π ln^{2} (y) d y

\int_{0}^{\frac{π}{2}} cos (\frac{1}{2} x) d x

\int_{0}^{4} (5 x^{2} - 6 x + 2) d x

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