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}

\int 4 x^{3} + 7 3 x^{2} d x

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

Solution steps

\int 4 x^{3} + 7 3 x^{2} d x

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 + \int 7 3 x^{2} d x

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

\int 7 3 x^{2} d x = \frac{21}{5} x^{\frac{5}{3}}

= \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 7 e^{x} - 7 x e^{x^{2}} d x

\int \frac{2}{x ^{2} + 4 x + 8} d x

\int x^{3} x + 4 d x

\int \frac{x ^{5}}{1 - 25 x ^{12}} d x

\int csc (x + 1) d x

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