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

The integral of x/(\sqrt[3]{x)} is 3/5 x^{5/3}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{3}{5} x^{\frac{5}{3}} + C

Solution steps

Simplify

= \int x^{\frac{2}{3}} d x

Apply the Power Rule

: \frac{3}{5} x^{\frac{5}{3}}

= \frac{3}{5} x^{\frac{5}{3}}

Add a constant to the solution

= \frac{3}{5} x^{\frac{5}{3}} + C

\int 10 x^{5} e^{x} d x

7 \frac{d y}{d x} = \frac{e ^{y} sin ^{2} ( x )}{y sec ( x )}

f^{'} (t)

x \to 0 + lim (1 - x)

\frac{d}{d x} (3 x^{2} cos (2 x))

What is the integral of x/(\sqrt[3]{x)} ?
The integral of x/(\sqrt[3]{x)} is 3/5 x^{5/3}+C