What is the integral from 0 to pi/3 of cos(θ) ?

The integral from 0 to pi/3 of cos(θ) is (sqrt(3))/2

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integral from 0 to pi/3 of cos(θ)

\int_{0}^{\frac{π}{3}} cos (θ) d θ

\frac{3}{2}

Decimal

0.86602 \dots

Solution steps

\int_{0}^{\frac{π}{3}} cos (θ) d θ

Use the common integral:

\int cos (θ) d θ = sin (θ)

= [sin (θ)]_{0}^{\frac{π}{3}}

Compute the boundaries:

\frac{3}{2}

= \frac{3}{2}

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What is the integral from 0 to pi/3 of cos(θ) ?
The integral from 0 to pi/3 of cos(θ) is (sqrt(3))/2