# How To Integrate The Cube Root Of X

In calculus, the easiest way to deal with roots is to turn them into fraction powers. A square root will become a ½ power, a cube root will become a 1/3 power and so on. There is a basic formula to follow when taking the integral of an expression with a power 1/(n+1) x^(n+1).

### Step 1

Re-write the cube root into a fraction power: x^(1/3).

### Step 2

Add one to the power: x^(4/3).

### Step 3

Multiply the expression by the reciprocal of the power. A reciprocal is simply a fraction flipped. For example the reciprocal of 4/3 is 3/4. Multiplying by 3/4 yields: 3/4 x^(4/3).

### Cite This Article

#### MLA

Wood, Lynn. "How To Integrate The Cube Root Of X" *sciencing.com*, https://www.sciencing.com/integrate-cubed-root-x-10019645/. 24 April 2017.

#### APA

Wood, Lynn. (2017, April 24). How To Integrate The Cube Root Of X. *sciencing.com*. Retrieved from https://www.sciencing.com/integrate-cubed-root-x-10019645/

#### Chicago

Wood, Lynn. How To Integrate The Cube Root Of X last modified March 24, 2022. https://www.sciencing.com/integrate-cubed-root-x-10019645/