What is the integral from 0 to pi of sin(x)+1 ?

The integral from 0 to pi of sin(x)+1 is 2+pi

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integral from 0 to pi of sin(x)+1

\int_{0}^{π} sin (x) + 1 d x

2 + π

Decimal

5.14159 \dots

Solution steps

\int_{0}^{π} sin (x) + 1 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} sin (x) d x + \int_{0}^{π} 1 d x

\int_{0}^{π} sin (x) d x = 2

\int_{0}^{π} 1 d x = π

= 2 + π

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What is the integral from 0 to pi of sin(x)+1 ?
The integral from 0 to pi of sin(x)+1 is 2+pi