What is the integral of (4sqrt(x^3)+7\sqrt[3]{x^2}) ?

The integral of (4sqrt(x^3)+7\sqrt[3]{x^2}) is 8/5 x^{5/2}+21/5 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 (4sqrt(x^3)+7\sqrt[3]{x^2})

\frac{8}{5} x^{\frac{5}{2}} + \frac{21}{5} x^{\frac{5}{3}} + C

Solution steps

Apply the Sum Rule:

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

\int 4 x^{3} d x = \frac{8}{5} x^{\frac{5}{2}}

= \frac{8}{5} x^{\frac{5}{2}} + \frac{21}{5} x^{\frac{5}{3}}

Add a constant to the solution

= \frac{8}{5} x^{\frac{5}{2}} + \frac{21}{5} x^{\frac{5}{3}} + C

\int 3 x^{2} - 2 d x

\int (4 cosh (x) + x^{3}) d x

\int (6 e^{3 x} - 8 e^{- 2 x}) d x

\int (cosh (x))^{2} d x

\int (sin (t) cos^{- 3} (t)) d t

What is the integral of (4sqrt(x^3)+7\sqrt[3]{x^2}) ?
The integral of (4sqrt(x^3)+7\sqrt[3]{x^2}) is 8/5 x^{5/2}+21/5 x^{5/3}+C