The properties of definite integrals refer to various rules and properties that allow us to manipulate and evaluate definite integrals more easily.
Imagine you have different ingredients for baking cookies. You can mix them in any order, split them into smaller groups, or combine them together without changing the final result - just like how you can apply different properties to manipulate definite integrals without changing their value.
Linearity Property: This property states that we can distribute constants across functions inside an integral.
Additivity Property: This property allows us to split an integral into multiple smaller intervals and then add up their individual results.
Substitution Property (Change of Variables): This property allows us to substitute variables within an integral to simplify its evaluation.
Study guides for the entire semester
200k practice questions
Glossary of 50k key terms - memorize important vocab
© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.