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

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

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

\int_{- π}^{π} - sin (x) d x

0

Solution steps

\int_{- π}^{π} - sin (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) :

Odd

= 0

\int_{0}^{8} (- x^{2} + 8 x) d x

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

\int_{1}^{5} 9 x - 4 d x

\int_{0}^{2 π} (\frac{π - x}{2}) d x

\int_{0}^{1} x x^{2} + 5 d x

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