What is the integral of (5\sqrt[4]{x})/2 ?

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

\int \frac{5 4 x}{2} d x

2 x^{\frac{5}{4}} + C

Solution steps

\int \frac{5 4 x}{2} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{5}{2} \cdot \int 4 x d x

Apply the Power Rule

: \frac{4}{5} x^{\frac{5}{4}}

= \frac{5}{2} \cdot \frac{4}{5} x^{\frac{5}{4}}

Simplify

\frac{5}{2} \cdot \frac{4}{5} x^{\frac{5}{4}} : 2 x^{\frac{5}{4}}

= 2 x^{\frac{5}{4}}

Add a constant to the solution

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

\int \frac{sin ( x )}{3 cos ( x )} d x

\int \frac{e ^{x - 1}}{x} d x

\int \frac{2 x ^{2} - 6}{12 + 18 x - 2 x ^{3}} d x

\int \frac{1}{x ^{3} 1 + x ^{2}} d x

\int (x^{2} - 2 x) e^{k x} d x

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