What is the integral from-1 to 1 of xcos(x) ?

The integral from-1 to 1 of xcos(x) is 0

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integral from-1 to 1 of xcos(x)

\int_{- 1}^{1} x cos (x) d x

0

Solution steps

\int_{- 1}^{1} 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_{- π}^{π} x cos (n x) d x

\int_{0}^{π} x^{2} d x

\int_{0}^{π} cos^{2} (θ) sin (θ) d θ

\int_{0}^{π} sin (x) sin (x) d x

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

What is the integral from-1 to 1 of xcos(x) ?
The integral from-1 to 1 of xcos(x) is 0