What is the integral from-pi to pi of sin(mx)cos(nx) ?

The integral from-pi to pi of sin(mx)cos(nx) is 0

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integral from-pi to pi of sin(mx)cos(nx)

\int_{- π}^{π} sin (m x) cos (n x) d x

0

Solution steps

\int_{- π}^{π} sin (m 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

sin (m x) cos (n x) :

Odd

= 0

9 e^{x} x

\frac{d ^{10}}{d x ^{10}} (sin (x))

\frac{d}{d x} ((x - 1)^{2})

\frac{d}{d x} (a + x)

f (x) = x

What is the integral from-pi to pi of sin(mx)cos(nx) ?
The integral from-pi to pi of sin(mx)cos(nx) is 0