# How do you use the Fundamental Theorem of Calculus to evaluate an integral?

##### 1 Answer

If we can find the antiderivative function

We are usually given continuous functions, but if you want to be rigorous in your solutions, you should state that

FTC part 2 is a very powerful statement. Recall in the previous chapters, the definite integral was calculated from areas under the curve using Riemann sums. FTC part 2 just throws that all away. We just have to find the antiderivative and evaluate at the bounds! This is a lot less work.

For most students, the proof does give any intuition of why this works or is true. But let's look at