What is the integral from 0 to 5 of 1/(x^{19/20)} ?

The integral from 0 to 5 of 1/(x^{19/20)} is 20*5^{1/20}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to 5 of 1/(x^{19/20)}

\int_{0}^{5} \frac{1}{x ^{\frac{19}{20}}} d x

20 \cdot 5^{\frac{1}{20}}

Decimal

21.67596 \dots

Solution steps

\int_{0}^{5} \frac{1}{x ^{\frac{19}{20}}} d x

Apply the Power Rule

= [20 x^{\frac{1}{20}}]_{0}^{5}

Compute the boundaries:

20 \cdot 5^{\frac{1}{20}}

= 20 \cdot 5^{\frac{1}{20}}

What is the integral from 0 to 5 of 1/(x^{19/20)} ?
The integral from 0 to 5 of 1/(x^{19/20)} is 20*5^{1/20}