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

The integral from 0 to pi/3 of sin(x) is 1/2

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integral from 0 to pi/3 of sin(x)

\int_{0}^{\frac{π}{3}} sin (x) d x

\frac{1}{2}

Decimal

0.5

Solution steps

\int_{0}^{\frac{π}{3}} sin (x) d x

Use the common integral:

\int sin (x) d x = - cos (x)

= [- cos (x)]_{0}^{\frac{π}{3}}

Compute the boundaries:

\frac{1}{2}

= \frac{1}{2}

What is the integral from 0 to pi/3 of sin(x) ?
The integral from 0 to pi/3 of sin(x) is 1/2