What is the integral of (\sqrt[7]{x}+\sqrt[8]{x}) ?

The integral of (\sqrt[7]{x}+\sqrt[8]{x}) is 7/8 x^{8/7}+8/9 x^{9/8}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of (\sqrt[7]{x}+\sqrt[8]{x})

\frac{7}{8} x^{\frac{8}{7}} + \frac{8}{9} x^{\frac{9}{8}} + C

Solution steps

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \frac{7}{8} x^{\frac{8}{7}} + \frac{8}{9} x^{\frac{9}{8}}

Add a constant to the solution

= \frac{7}{8} x^{\frac{8}{7}} + \frac{8}{9} x^{\frac{9}{8}} + C

What is the integral of (\sqrt[7]{x}+\sqrt[8]{x}) ?
The integral of (\sqrt[7]{x}+\sqrt[8]{x}) is 7/8 x^{8/7}+8/9 x^{9/8}+C