What is the integral from 0 to 1 of cos(x)-0.5 ?

The integral from 0 to 1 of cos(x)-0.5 is 0.34147…

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integral from 0 to 1 of cos(x)-0.5

\int_{0}^{1} cos (x) - 0.5 d x

0.34147 \dots

Solution steps

\int_{0}^{1} 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}^{1} cos (x) d x - \int_{0}^{1} 0.5 d x

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

\int_{0}^{1} 0.5 d x = 0.5

= sin (1) - 0.5

Simplify

sin (1) - 0.5 : 0.34147 \dots

= 0.34147 \dots

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What is the integral from 0 to 1 of cos(x)-0.5 ?
The integral from 0 to 1 of cos(x)-0.5 is 0.34147…