U-Substitution: How to Do It, With 5 Patterns and Examples
Learn how to do u-substitution step by step. Spot the 5 patterns that tell you what u should be, handle definite integrals, and practice with answers.
Calculus Guides and Tutorials
Plain-English lessons on antiderivatives and integration. Every guide has worked examples, and every answer is checked.
Power Rule for Integration: 5 Levels From Easy to Tricky
The power rule for integration: add 1 to the exponent and divide. Learn it in 5 levels, including negative powers, roots and fractions, with practice.
Antiderivative Rules and Formulas: The Complete Cheat Sheet
Every antiderivative rule and formula in one place: power, exponential, log, trig and inverse trig rules, with examples and the rules that do not exist.
Constant of Integration: What Is C in Integration (and How to Find It)
C in integration is the constant of integration. See why we add + C, why the integral of a constant is kx + C, and how to find C from a starting value.
How to Find the Antiderivative: An 8-Question Checklist
Learn how to find the antiderivative of any function with an 8-question checklist that tells you which method to use, with an example for each step.
Antiderivative vs Derivative: The Difference, Side by Side
Derivatives find rates; antiderivatives find the function behind a rate. Compare them side by side, rule by rule, with a motion example you can picture.
What Is an Antiderivative? A Simple Guide for Beginners
An antiderivative undoes a derivative. Learn what it means in simple words, why we add + C, how to read the notation, and try a short quiz.