What is the integral from pi/4 to pi of (sin(θ)) ?

The integral from pi/4 to pi of (sin(θ)) is 1+1/(sqrt(2))

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integral from pi/4 to pi of (sin(θ))

\int_{\frac{π}{4}}^{π} (sin (θ)) d θ

1 + \frac{1}{2}

Decimal

1.70710 \dots

Solution steps

\int_{\frac{π}{4}}^{π} sin (θ) d θ

Use the common integral:

\int sin (θ) d θ = - cos (θ)

= [- cos (θ)]_{\frac{π}{4}}^{π}

Compute the boundaries:

1 + \frac{1}{2}

= 1 + \frac{1}{2}

What is the integral from pi/4 to pi of (sin(θ)) ?
The integral from pi/4 to pi of (sin(θ)) is 1+1/(sqrt(2))