What is the integral of (x)^{3/2} ?

The integral of (x)^{3/2} is 2/5 x^{5/2}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (x)^{3/2}

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

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

Solution steps

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

Apply the Power Rule

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

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

Add a constant to the solution

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

y^{^{''}} + y = csc^{2} (x)

\int x (x^{2} + 1)^{4} d x

e^{x} - 4 x^{3}

\frac{d}{d x} (\frac{x - 1}{x + 1})

\frac{\partial}{\partial x} (\frac{1}{2} ln (x + y))