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

The integral from pi to 0 of cos(x) is 0

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integral from pi to 0 of cos(x)

\int_{π}^{0} cos (x) d x

0

Solution steps

\int_{π}^{0} cos (x) d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{0}^{π} cos (x) d x

Use the common integral:

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

= - [sin (x)]_{0}^{π}

Compute the boundaries:

0

= - 0

Simplify

= 0

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