en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (x^3)/x

Solution

integral

\frac{x ^{3}}{x}

Solution

\frac{x ^{3}}{3} + C

Solution steps

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

Cancel the common factor:

x

= \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= \frac{x ^{3}}{3}

Add a constant to the solution

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

Popular Examples

integral of x(x^2+1)^3 integral

x (x^{2} + 1)^{3}

integral of ((2x+1))/((x^2+1))integral

\frac{( 2 x + 1 )}{( x ^{2} + 1 )}

integral of x^{-2}e^x integral

x^{- 2} e^{x}

integral of y/2 integral

\frac{y}{2}

integral of (cos(x))/2 integral

\frac{cos ( x )}{2}

Frequently Asked Questions (FAQ)

What is the integral of (x^3)/x ?
The integral of (x^3)/x is (x^3)/3+C