What is the integral from 0 to pi of cos(x)-0.5 ?

The integral from 0 to pi of cos(x)-0.5 is -1.57079…

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integral from 0 to pi of cos(x)-0.5

\int_{0}^{π} cos (x) - 0.5 d x

- 1.57079 \dots

Solution steps

\int_{0}^{π} cos (x) - 0.5 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{π} cos (x) d x - \int_{0}^{π} 0.5 d x

\int_{0}^{π} cos (x) d x = 0

\int_{0}^{π} 0.5 d x = 1.57079 \dots

= 0 - 1.57079 \dots

Simplify

= - 1.57079 \dots

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What is the integral from 0 to pi of cos(x)-0.5 ?
The integral from 0 to pi of cos(x)-0.5 is -1.57079…