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

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

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

\int_{0}^{π} \frac{sin ( x )}{π} d x

\frac{2}{π}

Decimal

0.63661 \dots

Solution steps

\int_{0}^{π} \frac{sin ( x )}{π} d x

Take the constant out:

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

= \frac{1}{π} \cdot \int_{0}^{π} sin (x) d x

Use the common integral:

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

= \frac{1}{π} [- cos (x)]_{0}^{π}

Compute the boundaries:

2

= \frac{1}{π} \cdot 2

Simplify

= \frac{2}{π}

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