What is the integral from 1 to 4 of (4x+sqrt(x)) ?

The integral from 1 to 4 of (4x+sqrt(x)) is 104/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 4 of (4x+sqrt(x))

\int_{1}^{4} (4 x + x) d x

\frac{104}{3}

Decimal

34.66666 \dots

Solution steps

\int_{1}^{4} 4 x + 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_{1}^{4} 4 x d x + \int_{1}^{4} x d x

\int_{1}^{4} 4 x d x = 30

\int_{1}^{4} x d x = \frac{14}{3}

= 30 + \frac{14}{3}

Simplify

30 + \frac{14}{3} : \frac{104}{3}

= \frac{104}{3}

\int_{1}^{5} e^{x} d x

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

\int_{0}^{3} \frac{x}{49 + 5 x} d x

\int_{- 3}^{7} ∣ x ∣ d x

\int_{- 2}^{- 1} \frac{1}{x ^{2} + 4 x + 5} d x

What is the integral from 1 to 4 of (4x+sqrt(x)) ?
The integral from 1 to 4 of (4x+sqrt(x)) is 104/3