# AP Calculus BC : Fundamental Theorem of Calculus with Definite Integrals

## Example Questions

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### Example Question #11 : Fundamental Theorem Of Calculus And Techniques Of Antidifferentiation

Evaluate the following integral

Explanation:

Evaluate the following integral

Let's begin by recalling our "reverse power rule" AKA, the antiderivative form of our power rule.

In other words, all we need to do for each term is increase the exponent by 1 and then divide by that number.

Let's clean it up a little to get:

Now, to evaluate our integral, we need to plug in 5 and 0 for x and find the difference between the values. In other words, if our integrated function is F(x), we need to find F(5)-F(0).