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

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

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integral from 0 to pi of sin(y)

\int_{0}^{π} sin (y) d y

2

Solution steps

\int_{0}^{π} sin (y) d y

Use the common integral:

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

= [- cos (y)]_{0}^{π}

Compute the boundaries:

2

= 2

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\int_{0}^{1} cos (x) d x

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