What is the integral from-pi to pi of sin(2x)cos(3x) ?

The integral from-pi to pi of sin(2x)cos(3x) is 0

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integral from-pi to pi of sin(2x)cos(3x)

\int_{- π}^{π} sin (2 x) cos (3 x) d x

0

Solution steps

\int_{- π}^{π} sin (2 x) cos (3 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 (2 x) cos (3 x) :

Odd

= 0

\int_{0}^{π} cos (6 x) sin (5 x) d x

\int_{0}^{2} \frac{9}{5} x d x

\int_{0}^{20} 4 (400 - y^{2}) d y

\int_{5}^{2 x} ln (u) d u

\int_{0}^{\frac{1}{2}} \frac{6}{7} (2 x^{2} + x) d x

What is the integral from-pi to pi of sin(2x)cos(3x) ?
The integral from-pi to pi of sin(2x)cos(3x) is 0