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

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

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

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

Add a constant to the solution

= \frac{8}{3} x^{\frac{3}{2}} + \frac{4}{5} x^{\frac{5}{4}} + C

\frac{d}{d x} (\frac{3}{x ^{2} - 1})

\int sin (3 x) sin (7 x) d x

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

x \to 1 lim (\frac{x ^{3} + 1}{x + 1})

y^{^{'}} = \frac{x ^{2} + 3 x + 2}{y - 2}

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