What is the integral of (1-sqrt(x))/(\sqrt[3]{x)} ?

The integral of (1-sqrt(x))/(\sqrt[3]{x)} is 3/2 x^{2/3}-6/7 x^{7/6}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (1-sqrt(x))/(\sqrt[3]{x)}

\frac{3}{2} x^{\frac{2}{3}} - \frac{6}{7} x^{\frac{7}{6}} + 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{3}{2} x^{\frac{2}{3}} - \frac{6}{7} x^{\frac{7}{6}}

Add a constant to the solution

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

x \to - 2 lim (x)

\int \frac{x ^{2} + 1}{( x - 9 ) ( x - 8 ) ^{2}} d x

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

\int_{- 8}^{18} \frac{1}{∣ 2 x ∣} d x

\frac{\partial}{\partial y} (3 y^{2} + x^{2} - 3)

What is the integral of (1-sqrt(x))/(\sqrt[3]{x)} ?
The integral of (1-sqrt(x))/(\sqrt[3]{x)} is 3/2 x^{2/3}-6/7 x^{7/6}+C