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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \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

Simplify

= 0

\int_{- π}^{π} cos (x) cos (x) d x

\int_{0}^{3} y d y

\int_{0}^{1} \frac{1}{1 - 2 x} d x

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

\int_{0}^{2} x^{3} - 5 x^{2} + 6 x d x

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