What is the integral from 1 to 4 of 5/(sqrt(x)) ?

The integral from 1 to 4 of 5/(sqrt(x)) is 10

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 5/(sqrt(x))

\int_{1}^{4} \frac{5}{x} d x

10

Solution steps

\int_{1}^{4} \frac{5}{x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int_{1}^{4} \frac{1}{x} d x

Apply the Power Rule

: [2 x^{\frac{1}{2}}]_{1}^{4}

= 5 [2 x^{\frac{1}{2}}]_{1}^{4}

Apply radical rule:

= 5 [2 x]_{1}^{4}

Compute the boundaries:

2

= 5 \cdot 2

Simplify

= 10

\frac{d}{d x} (\frac{x}{2} - ln (3))

\frac{d x}{d t} = - a x

\int_{3}^{7} \frac{x}{x ^{2} - 2} d x

y = x^{2} - 5 x + 5 (0.5)

F (s) = ln (ln (6 s))

What is the integral from 1 to 4 of 5/(sqrt(x)) ?
The integral from 1 to 4 of 5/(sqrt(x)) is 10