How do I do definite integrals?

A definite integral is an indefinite integral with set limits. If we consider integration as a way of calculating the area under a curve, a definite integral calculates the area under the curve between two points. 

To perform a definite integral, we follow the same initial steps, raising the power and dividing by the new power. We then substitute in the two limits. The difference of the two values is the answer. 

(I would do an example and use diagrams for this)