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

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

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

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

0

Solution steps

\int_{- \frac{π}{2}}^{\frac{π}{2}} 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}^{a} 1 d x

\int_{- \infty}^{\infty} \frac{1}{2 x ^{2} - 8 x + 40} d x

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

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

\int_{0}^{4} x + 2 d x

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