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

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

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

\int_{- π}^{π} sin (x) cos (n x) d x

0

Solution steps

\int_{- π}^{π} sin (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 (x) cos (n x) :

Odd

= 0

2 t (\frac{d y}{d t}) + y = 4 t^{2} + 3 t

\int_{2}^{3} \frac{5}{x ^{2} - 1} d x

\int \frac{1}{e ^{x}} d x

\frac{d x}{d t} = 2 x

x \to \infty lim 1 + \frac{1}{x} - 1 x

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