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

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

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integral from-pi to pi of sin(θ)

\int_{- π}^{π} sin (θ) d θ

0

Solution steps

\int_{- π}^{π} sin (θ) d θ

If f(x) is an odd function and continuous at:

[- a, a]

then

\int_{- a}^{a} f (x) d x = 0

Parity of

sin (θ) :

Odd

= 0

\int_{- π}^{π} π d x

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

\int_{0}^{1} \frac{e ^{2 x + 1}}{2} d x

\int_{1}^{3} (x^{2} + e^{- x}) d x

\int_{0}^{\frac{π}{2}} e^{- 7 x} cos (x) d x

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