What is the integral from 0 to pi of 8+5sin(x) ?

The integral from 0 to pi of 8+5sin(x) is 8pi+10

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integral from 0 to pi of 8+5sin(x)

\int_{0}^{π} 8 + 5 sin (x) d x

8 π + 10

Solution steps

\int_{0}^{π} 8 + 5 sin (x) 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} 8 d x + \int_{0}^{π} 5 sin (x) d x

\int_{0}^{π} 8 d x = 8 π

\int_{0}^{π} 5 sin (x) d x = 10

= 8 π + 10

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What is the integral from 0 to pi of 8+5sin(x) ?
The integral from 0 to pi of 8+5sin(x) is 8pi+10