The Best AP® Calculus Review Guide

The Best AP® Calculus AB Review Guide for 2025

This post features the best AP® Calculus review guide for 2021’s modified AP® exams. This includes summaries on the latest changes, strategies to take into this year’s exam, and hand-picked practice FRQs for you to review before the test.

How to Use the Midpoint Rule in AP® Calculus

How to Use the Midpoint Rule in AP® Calculus

You are probably familiar with term midpoint rule. Have you faced problems for approximating the area under a curve using the midpoint rule, and never had an idea how to go about these types of questions? Well, let us break it down for you and make it easier to understand.

How to Use the Trapezoid Rule in AP® Calculus

How to Use the Trapezoid Rule in AP® Calculus

We are confident you have come across the term trapezoid rule in class or read about it in books. Have you ever wondered how it’s use? How to answer questions that require the use of the trapezoid rule and how the trapezoid rule is applied to tackle such questions?

The Ultimate Guide to the Fundamental Theorem of Calculus in AP® Calculus

The Ultimate Guide to the Fundamental Theorem of Calculus in AP® Calculus

The Fundamental Theorem of Calculus brings together two essential concepts in calculus: differentiation and integration. There are two parts to the Fundamental Theorem: the first justifies the procedure for evaluating definite integrals, and the second establishes the relationship between differentiation and integration.

How to Approach Optimization Problems - AP® Calculus Crash Course

How to Approach Optimization Problems: AP® Calculus Crash Course

One of the most challenging aspects of calculus is optimization. Many AP® Calculus students struggle with optimization problems because they require a bit more critical thinking than a normal problem. Reading this article will give you all the tools you need to solve optimization problems, including some examples that I will walk you through. Together, we will beat all of your fears and confusion. Let’s get started.

How to Solve Integrals - AP® Calculus Crash Course

How to Solve Integrals: AP® Calculus Crash Course

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.

Derivatives of Inverse Functions - AP® Calculus Crash Course

Derivatives of Inverse Functions: AP® Calculus Crash Course

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.

How to Study for AP® Calculus

How to Study for AP® Calculus

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.

Is AP® Calculus Hard?

Is AP® Calculus Hard?

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.