What is the integral from-1 to 27 of 1/(\sqrt[3]{x)} ?

The integral from-1 to 27 of 1/(\sqrt[3]{x)} is 12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from-1 to 27 of 1/(\sqrt[3]{x)}

12

Solution steps

Find undefined (singularity) points:

x = 0

If exist

b, a < b < c, f (b) =

undefined

, \int_{a}^{c} f (x) d x = \int_{a}^{b} f (x) d x + \int_{b}^{c} f (x) d x

= - \frac{3 ( - 1 ) ^{\frac{2}{3}}}{2} + \frac{27}{2}

Simplify

- \frac{3 ( - 1 ) ^{\frac{2}{3}}}{2} + \frac{27}{2} : 12

= 12

What is the integral from-1 to 27 of 1/(\sqrt[3]{x)} ?
The integral from-1 to 27 of 1/(\sqrt[3]{x)} is 12