What is the integral from 0.25 to 4 of 1/(sqrt(x)) ?

The integral from 0.25 to 4 of 1/(sqrt(x)) is 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0.25 to 4 of 1/(sqrt(x))

\int_{0.25}^{4} \frac{1}{x} d x

3

Solution steps

\int_{0.25}^{4} \frac{1}{x} d x

Apply the Power Rule

: [2 x^{\frac{1}{2}}]_{0.25}^{4}

= [2 x^{\frac{1}{2}}]_{0.25}^{4}

Apply radical rule:

= [2 x]_{0.25}^{4}

Compute the boundaries:

3

= 3

\int_{1}^{2} 4^{5 x} d x

\int_{- 5}^{0} 2 (t + 1)^{\frac{1}{3}} d t

\int_{- 2}^{1} (2 - x^{2}) - (x) d x

\int_{0}^{2} x e^{5 x} d x

What is the integral from 0.25 to 4 of 1/(sqrt(x)) ?
The integral from 0.25 to 4 of 1/(sqrt(x)) is 3