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

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

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

\int_{- π}^{π} sin (x) cos (x) d x

0

Solution steps

\int_{- π}^{π} sin (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

sin (x) cos (x) :

Odd

= 0

y^{^{'}} = x^{2} + x, y (1) = 3

\int sin^{3} (6 x) cos^{2} (6 x) d x

\int_{0}^{3} π (\frac{1}{x + 5})^{2} d x

y = 3 x + 1, y = x + 1

\int 5 u^{5} u^{6} + 5 d u

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