What is the integral of (3sqrt(x)+7)/(\sqrt[3]{x)} ?

The integral of (3sqrt(x)+7)/(\sqrt[3]{x)} is 18/7 x^{7/6}+21/2 x^{2/3}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (3sqrt(x)+7)/(\sqrt[3]{x)}

\frac{18}{7} x^{\frac{7}{6}} + \frac{21}{2} x^{\frac{2}{3}} + C

Solution steps

Expand

Apply the Sum Rule:

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

= \frac{18}{7} x^{\frac{7}{6}} + \frac{21}{2} x^{\frac{2}{3}}

Add a constant to the solution

= \frac{18}{7} x^{\frac{7}{6}} + \frac{21}{2} x^{\frac{2}{3}} + C

\int x^{3} (3 - x^{4})^{10} d x

\int x (6 x + 7)^{8} d x

\int x \cdot x^{10} d x

\frac{d y}{d x} y = x^{8 c o s (x)}

x \to 0 lim (\frac{sin ( 5 x )}{sin ( \frac{1}{3} x )})

What is the integral of (3sqrt(x)+7)/(\sqrt[3]{x)} ?
The integral of (3sqrt(x)+7)/(\sqrt[3]{x)} is 18/7 x^{7/6}+21/2 x^{2/3}+C