Antiderivatives and Integration Formulas

Start with the concepts

The Antiderivatives mind map offers a starting point for seeing how the ideas on this page fit together. It includes general and particular antiderivatives, definite integrals and the Fundamental Theorem of Calculus. It also branches into the substitution method and applications such as area, arc length, volume and rectilinear motion.

Use the map to choose an area to study before moving to a deck of formulas. You can return to it as you work through the flashcards.

Practice formulas with flashcards

Basic Integration Formulas includes integrals of constants and powers alongside trigonometric functions. Basic Anti-Derivatives covers expressions involving constants, sums and powers. Either deck is a useful place to begin practicing individual formulas after looking at the concept map.

For more trigonometric examples, C4 Integration includes integrals involving sine, cosine, tangent, secant and cosecant. Integral Flashcards also lists trigonometric expressions and their antiderivatives. Work through a deck, then return to expressions you want to practice again.

Use maps and cards together

The Integration Formula mind map groups formulas under headings including logarithmic, exponential, trigonometric and hyperbolic functions. Look at a group on the map, then use a relevant flashcard deck to practice individual expressions. The AP Calculus AB integration flashcards include general, logarithmic and trigonometric formulas.

There are no quizzes listed on this page, so the flashcards offer a way to practice alongside the maps.

Place the topic in the unit

Antiderivatives and Integration Formulas is a section of the Integration unit in Mathematics. Its resources bring together formulas, methods and applications within that unit. Ch 7 Formula includes integration by parts as well as trigonometric integrals, offering another direction to explore after the basic cards.

Choose a map and a deck to use together, or make your own study resources.