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

The integral from 0 to pi of pisin(x) is pi2

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integral from 0 to pi of pisin(x)

\int_{0}^{π} π sin (x) d x

π 2

Decimal

6.28318 \dots

Solution steps

\int_{0}^{π} π sin (x) d x

Take the constant out:

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

= π \cdot \int_{0}^{π} sin (x) d x

Use the common integral:

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

= π [- cos (x)]_{0}^{π}

Compute the boundaries:

2

= π 2

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What is the integral from 0 to pi of pisin(x) ?
The integral from 0 to pi of pisin(x) is pi2