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

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

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

\int_{0}^{π} 5 + sin (x) d x

5 π + 2

Solution steps

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

\int_{0}^{π} 5 d x = 5 π

\int_{0}^{π} sin (x) d x = 2

= 5 π + 2

\int_{3 π}^{4 π} cos (\frac{1}{2} x) d x

\int_{- 1}^{1} (5 x + 5) d x

\int_{- 1}^{0} 2 - x^{2} d x

\int_{0}^{1} (7 - \frac{21}{2} x)^{2} d x

\int_{0}^{14} 8 x d x

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