What is the integral from 0 to pi/4 of cos(θ) ?

The integral from 0 to pi/4 of cos(θ) is 1/(sqrt(2))

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integral from 0 to pi/4 of cos(θ)

\int_{0}^{\frac{π}{4}} cos (θ) d θ

\frac{1}{2}

Decimal

0.70710 \dots

Solution steps

\int_{0}^{\frac{π}{4}} cos (θ) d θ

Use the common integral:

\int cos (θ) d θ = sin (θ)

= [sin (θ)]_{0}^{\frac{π}{4}}

Compute the boundaries:

\frac{1}{2}

= \frac{1}{2}

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What is the integral from 0 to pi/4 of cos(θ) ?
The integral from 0 to pi/4 of cos(θ) is 1/(sqrt(2))