What is the integral from 2 to 5 of 3/(sqrt(x)) ?

The integral from 2 to 5 of 3/(sqrt(x)) is 3(2sqrt(5)-2sqrt(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 2 to 5 of 3/(sqrt(x))

\int_{2}^{5} \frac{3}{x} d x

3 (25 - 22)

Decimal

4.93112 \dots

Solution steps

\int_{2}^{5} \frac{3}{x} d x

Take the constant out:

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

= 3 \cdot \int_{2}^{5} \frac{1}{x} d x

Apply the Power Rule

= 3 [2 x^{\frac{1}{2}}]_{2}^{5}

Apply radical rule:

= 3 [2 x]_{2}^{5}

Compute the boundaries:

25 - 22

= 3 (25 - 22)

What is the integral from 2 to 5 of 3/(sqrt(x)) ?
The integral from 2 to 5 of 3/(sqrt(x)) is 3(2sqrt(5)-2sqrt(2))