What is the integral of \sqrt[3]{x^{11}} ?

The integral of \sqrt[3]{x^{11}} is 3/14 x^{14/3}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of \sqrt[3]{x^{11}}

\frac{3}{14} x^{\frac{14}{3}} + C

Solution steps

assuming

x \geq 0

= \int x^{\frac{11}{3}} d x

Apply the Power Rule

: \frac{3}{14} x^{\frac{14}{3}}

= \frac{3}{14} x^{\frac{14}{3}}

Add a constant to the solution

= \frac{3}{14} x^{\frac{14}{3}} + C

(\frac{1}{5}) (x y^{2} + 4 y)^{2}

\int x \cdot cos (x) d x

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

\frac{d y}{d x} = 7 y \cdot e^{(x + 9)}

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

What is the integral of \sqrt[3]{x^{11}} ?
The integral of \sqrt[3]{x^{11}} is 3/14 x^{14/3}+C