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

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

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

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

0

Solution steps

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

Odd

= 0

\int_{1}^{3} (\frac{15}{26} x^{2} - 2) d x

\int_{0}^{l n (2)} 2 e^{3 x} d x

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

\int_{- \frac{π}{2}}^{π} 5 cos (x) d x

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

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