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

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

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

\int_{0}^{\frac{π}{3}} sin (t) d t

\frac{1}{2}

Decimal

0.5

Solution steps

\int_{0}^{\frac{π}{3}} sin (t) d t

Use the common integral:

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

= [- cos (t)]_{0}^{\frac{π}{3}}

Compute the boundaries:

\frac{1}{2}

= \frac{1}{2}

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