What is the integral from 0 to pi of (sin(x)-6) ?

The integral from 0 to pi of (sin(x)-6) is 2-6pi

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integral from 0 to pi of (sin(x)-6)

\int_{0}^{π} (sin (x) - 6) d x

2 - 6 π

Decimal

- 16.84955 \dots

Solution steps

\int_{0}^{π} sin (x) - 6 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} 6 d x

\int_{0}^{π} sin (x) d x = 2

\int_{0}^{π} 6 d x = 6 π

= 2 - 6 π

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What is the integral from 0 to pi of (sin(x)-6) ?
The integral from 0 to pi of (sin(x)-6) is 2-6pi