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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\int_{0}^{π} (sin (x) - 4) d x

2 - 4 π

Decimal Notation

- 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_{c}^{\infty} x e^{- 2 x} d x

\int_{1}^{e^{6}} \frac{1}{x ( 1 + ln ( x ) )} d x

\int_{0}^{1} 2 x (1 - x^{2})^{4} d x

\int_{- 1}^{2} (3 x^{2} - 2 x) d x

\int_{- 1}^{1} x^{6} d x

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