What is the integral from 0 to 4 of 2+6sqrt(x) ?

The integral from 0 to 4 of 2+6sqrt(x) is 40

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to 4 of 2+6sqrt(x)

\int_{0}^{4} 2 + 6 x d x

40

Solution steps

\int_{0}^{4} 2 + 6 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}^{4} 2 d x + \int_{0}^{4} 6 x d x

\int_{0}^{4} 2 d x = 8

\int_{0}^{4} 6 x d x = 32

= 8 + 32

Simplify

= 40

What is the integral from 0 to 4 of 2+6sqrt(x) ?
The integral from 0 to 4 of 2+6sqrt(x) is 40