What is the integral from 0 to pi of 7+sin(x) ?

The integral from 0 to pi of 7+sin(x) is 7pi+2

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integral from 0 to pi of 7+sin(x)

\int_{0}^{π} 7 + sin (x) d x

7 π + 2

Decimal

23.99114 \dots

Solution steps

\int_{0}^{π} 7 + 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} 7 d x + \int_{0}^{π} sin (x) d x

\int_{0}^{π} 7 d x = 7 π

\int_{0}^{π} sin (x) d x = 2

= 7 π + 2

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What is the integral from 0 to pi of 7+sin(x) ?
The integral from 0 to pi of 7+sin(x) is 7pi+2