What is the integral from 0 to 7pi of 5+sin(x) ?

The integral from 0 to 7pi of 5+sin(x) is 35pi+2

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integral from 0 to 7pi of 5+sin(x)

\int_{0}^{7 π} 5 + sin (x) d x

35 π + 2

Solution steps

\int_{0}^{7 π} 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}^{7 π} 5 d x + \int_{0}^{7 π} sin (x) d x

\int_{0}^{7 π} 5 d x = 35 π

\int_{0}^{7 π} sin (x) d x = 2

= 35 π + 2

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What is the integral from 0 to 7pi of 5+sin(x) ?
The integral from 0 to 7pi of 5+sin(x) is 35pi+2