What is the integral of (\sqrt[3]{ln(x)})/x ?

The integral of (\sqrt[3]{ln(x)})/x is 3/4 ln^{4/3}(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of (\sqrt[3]{ln(x)})/x

\frac{3}{4} ln^{\frac{4}{3}} (x) + C

Solution steps

Apply u-substitution

Apply the Power Rule

= \frac{3}{4} u^{\frac{4}{3}}

Substitute back

u = ln (x)

= \frac{3}{4} ln^{\frac{4}{3}} (x)

Add a constant to the solution

= \frac{3}{4} ln^{\frac{4}{3}} (x) + C

What is the integral of (\sqrt[3]{ln(x)})/x ?
The integral of (\sqrt[3]{ln(x)})/x is 3/4 ln^{4/3}(x)+C