Twenty Various Multiple Choice and Free-response Indefinite Integrals

Looking for help in introducing integration by substitution to your calculus students?  Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps...

Are you always looking for extra problem resources to incorporate in your classes?  A set of problems for a full AP Calculus course may be all you need! Each unit has a full set of questions and a sample test.

The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...

From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...

This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...

In this A.P. Calculus activity, students complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields.  Some of the problems are multiple choice, while others are...

In this evaluate integrals worksheet, students solve and complete 10 various types of problems. First, they use the trigonometric identity to rewrite each integral. Then, students substitute and use integral formulas for sine functions....

In this integrals activity, students solve and complete 22 various types of problems. First, they evaluate each of the listed integrals on the sheet. Then, students solve each of the given differential equations by substituting the given...

A fabulous set of examples and problems that introduce basic trigonometry concepts, this packet is set apart by the care it takes to integrate both radians and degrees into the material. After defining radians, the author demonstrates...

The concept of solving integrals by substitution with trigonometric functions is modeled by a video designed for AP Calculus classes. The narrator works an example problem using substitution and shows that careful substitution...