What is the integral of ((x+1)/(\sqrt[4]{x)}) ?

The integral of ((x+1)/(\sqrt[4]{x)}) is 4/7 x^{7/4}+4/3 x^{3/4}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of ((x+1)/(\sqrt[4]{x)})

\frac{4}{7} x^{\frac{7}{4}} + \frac{4}{3} x^{\frac{3}{4}} + 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

\int x^{\frac{3}{4}} d x = \frac{4}{7} x^{\frac{7}{4}}

= \frac{4}{7} x^{\frac{7}{4}} + \frac{4}{3} x^{\frac{3}{4}}

Add a constant to the solution

= \frac{4}{7} x^{\frac{7}{4}} + \frac{4}{3} x^{\frac{3}{4}} + C

y^{2} d y + x^{2} d x = 0

f (x) = arctan (e^{x})

\frac{7}{3} x^{3} (4 x^{5} - 11)^{3}

\frac{d y}{d x}, e^{4 x} = sin (x + 9 y)

- 8 x y

What is the integral of ((x+1)/(\sqrt[4]{x)}) ?
The integral of ((x+1)/(\sqrt[4]{x)}) is 4/7 x^{7/4}+4/3 x^{3/4}+C