What is the integral from 0 to pi of sin(x)-4 ?

The integral from 0 to pi of sin(x)-4 is 2-4pi

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integral from 0 to pi of sin(x)-4

\int_{0}^{π} sin (x) - 4 d x

2 - 4 π

Decimal

- 10.56637 \dots

Solution steps

\int_{0}^{π} sin (x) - 4 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} 4 d x

\int_{0}^{π} sin (x) d x = 2

\int_{0}^{π} 4 d x = 4 π

= 2 - 4 π

\int_{- π}^{π} cos (k x) d x

\int_{0}^{\infty} x y e^{- x y} d y

\int_{0}^{\frac{π}{4}} 2 sin (x) d x

\int_{2}^{5} (2 x + 3) d x

\int_{2}^{3} t^{2} - 2 t - 3 d t

What is the integral from 0 to pi of sin(x)-4 ?
The integral from 0 to pi of sin(x)-4 is 2-4pi