What is the integral from 0 to 6 of 3+2cos((pix)/6) ?

The integral from 0 to 6 of 3+2cos((pix)/6) is 18

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 6 of 3+2cos((pix)/6)

\int_{0}^{6} 3 + 2 cos (\frac{π x}{6}) d x

18

Solution steps

\int_{0}^{6} 3 + 2 cos (\frac{π 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}^{6} 3 d x + \int_{0}^{6} 2 cos (\frac{π x}{6}) d x

\int_{0}^{6} 3 d x = 18

\int_{0}^{6} 2 cos (\frac{π x}{6}) d x = 0

= 18 + 0

Simplify

= 18

\int_{0}^{2} e^{x^{4}} x^{3} d x

\int_{- 2}^{0} 2 + \frac{x ^{3}}{4} d x

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

\int_{3}^{7} - 2 lo g_{10} (x) d x

What is the integral from 0 to 6 of 3+2cos((pix)/6) ?
The integral from 0 to 6 of 3+2cos((pix)/6) is 18