What is the integral from 0 to pi/3 of cos(x)-0.5 ?

The integral from 0 to pi/3 of cos(x)-0.5 is 0.34242…

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integral from 0 to pi/3 of cos(x)-0.5

\int_{0}^{\frac{π}{3}} cos (x) - 0.5 d x

0.34242 \dots

Solution steps

\int_{0}^{\frac{π}{3}} 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}^{\frac{π}{3}} cos (x) d x - \int_{0}^{\frac{π}{3}} 0.5 d x

\int_{0}^{\frac{π}{3}} cos (x) d x = \frac{3}{2}

\int_{0}^{\frac{π}{3}} 0.5 d x = 0.52359 \dots

= \frac{3}{2} - 0.52359 \dots

Simplify

= 0.34242 \dots

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What is the integral from 0 to pi/3 of cos(x)-0.5 ?
The integral from 0 to pi/3 of cos(x)-0.5 is 0.34242…