What is the integral of (2/(\sqrt[3]{x)}) ?

The integral of (2/(\sqrt[3]{x)}) is 3x^{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 (2/(\sqrt[3]{x)})

3 x^{\frac{2}{3}} + C

Solution steps

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

Apply the Power Rule

: \frac{3}{2} x^{\frac{2}{3}}

= 2 \cdot \frac{3}{2} x^{\frac{2}{3}}

Simplify

2 \cdot \frac{3}{2} x^{\frac{2}{3}} : 3 x^{\frac{2}{3}}

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

Add a constant to the solution

= 3 x^{\frac{2}{3}} + C

3 sec (3 x)

x \to \infty lim (- 2 x^{3})

cos (t - \frac{π}{2}) H (t - \frac{π}{2})

x a + b x

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