What is the integral from-pi/2 to pi/2 of (cos(x)-2) ?

The integral from-pi/2 to pi/2 of (cos(x)-2) is 2-2pi

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-pi/2 to pi/2 of (cos(x)-2)

\int_{- \frac{π}{2}}^{\frac{π}{2}} (cos (x) - 2) d x

2 - 2 π

Decimal

- 4.28318 \dots

Solution steps

\int_{- \frac{π}{2}}^{\frac{π}{2}} cos (x) - 2 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_{- \frac{π}{2}}^{\frac{π}{2}} cos (x) d x - \int_{- \frac{π}{2}}^{\frac{π}{2}} 2 d x

\int_{- \frac{π}{2}}^{\frac{π}{2}} cos (x) d x = 2

\int_{- \frac{π}{2}}^{\frac{π}{2}} 2 d x = 2 π

= 2 - 2 π

\int_{1}^{4} \frac{x - 1}{x} d x

\int_{2}^{5} 2^{4 x} d x

\int_{- 1}^{8} \frac{1}{x ^{3}} d x

\int_{0}^{2} \frac{x + 1}{x ^{2} + 1} d x

\int_{0}^{2} (2 x - 9) (8 x^{2} + 6) d x

What is the integral from-pi/2 to pi/2 of (cos(x)-2) ?
The integral from-pi/2 to pi/2 of (cos(x)-2) is 2-2pi