What is the integral from pi to 3pi of sin(θ) ?

The integral from pi to 3pi of sin(θ) is 0

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integral from pi to 3pi of sin(θ)

\int_{π}^{3 π} sin (θ) d θ

0

Solution steps

\int_{π}^{3 π} sin (θ) d θ

Use the common integral:

\int sin (θ) d θ = - cos (θ)

= [- cos (θ)]_{π}^{3 π}

Compute the boundaries:

0

= 0

What is the integral from pi to 3pi of sin(θ) ?
The integral from pi to 3pi of sin(θ) is 0