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

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

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integral from 0 to pi/3 of 3sin(θ)

\int_{0}^{\frac{π}{3}} 3 sin (θ) d θ

\frac{3}{2}

Decimal

1.5

Solution steps

\int_{0}^{\frac{π}{3}} 3 sin (θ) d θ

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int_{0}^{\frac{π}{3}} sin (θ) d θ

Use the common integral:

\int sin (θ) d θ = - cos (θ)

= 3 [- cos (θ)]_{0}^{\frac{π}{3}}

Compute the boundaries:

\frac{1}{2}

= 3 \cdot \frac{1}{2}

Simplify

= \frac{3}{2}

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