What is the integral from pi/2 to pi of sin(θ) ?

The integral from pi/2 to pi of sin(θ) is 1

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integral from pi/2 to pi of sin(θ)

\int_{\frac{π}{2}}^{π} sin (θ) d θ

1

Solution steps

\int_{\frac{π}{2}}^{π} sin (θ) d θ

Use the common integral:

\int sin (θ) d θ = - cos (θ)

= [- cos (θ)]_{\frac{π}{2}}^{π}

Compute the boundaries:

1

= 1

What is the integral from pi/2 to pi of sin(θ) ?
The integral from pi/2 to pi of sin(θ) is 1