What is the integral from 0 to 2pi of 2-2cos(x) ?

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

\int_{0}^{2 π} 2 - 2 cos (x) d x

4 π

Decimal Notation

12.56637 \dots

Solution steps

\int_{0}^{2 π} 2 - 2 cos (x) 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}^{2 π} 2 d x - \int_{0}^{2 π} 2 cos (x) d x

\int_{0}^{2 π} 2 d x = 4 π

\int_{0}^{2 π} 2 cos (x) d x = 0

= 4 π - 0

Simplify

= 4 π

\int_{0}^{\frac{1}{2}} 4 e^{2 x} d x

\int_{- 1}^{0} x (x^{2} - 1)^{10} d x

\int_{0}^{e} \frac{ln ( x ^{3} )}{x} d x

\int_{- π}^{π} sin (2 x) cos (5 x) d x

\int_{0}^{\frac{π}{2}} sin (x + y) d x

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