# What is #int_(0)^(2) x^(3)dx #?

##### 1 Answer

Oct 28, 2015

4 sq units

#### Explanation:

Remember that an application of integration is to find the area under a curve. In this example you are finding the area bounded between 0 and 2.

First you apply the integration rules.

Now apply the bounds of 0 and 2.

**Substitute** in the **upper** bound into the expression

**Substitute** in the **lower** bound into the expression

**Subtract** the **lower** bound result from the **upper** bound result