AP® Calculus

Integration may be the most challenging concept in AP® Calculus textbooks, but it is also arguably the most important! That being said, there is no shame in being nervous for the upcoming AP® exam. In order to help quench your fears, I will walk you through the most important concepts of solving even the most challenging of integrals. Reading this AP® Calculus review will outline all the tools you need, and hopefully calm the butterflies in your stomach.

In this review guide, we’re going to take a look at an AP® Calculus review topic: calculating derivatives of inverse function! Calculating the derivative of an inverse function requires you to apply derivation skills you’ve already learned to a specific type of function, inverse functions, which don’t always behave in a clear-cut manner.

The Second Fundamental Theorem of Calculus establishes a relationship between a function and its anti-derivative. Specifically, for a function f that is continuous over an interval I containing the x-value a, the theorem allows us to create a new function, F(x), by integrating f from a to x.

In this article, we’re going to go over how exactly you should be studying for the AP® Calculus exams, and what topics you need to know to ace the exam. This article will not be going over any practice problems, and instead will focus mostly on creating an AP® Calculus study plan and tips for acing the AP® Calculus exams.

If you’re asking “Is AP® Calculus Hard?”, there’s at least a little worry about tackling this course. We’ve already taken the first step in dealing with fear by acknowledging it. We can’t guarantee that AP® Physics will feel less concerning by the end of this article, but we can explain what makes AP® Calculus hard and what step you can take to be successful.