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Integral rules

This original textbook reading covers part of the AP topic. Follow the AP course outline for complete topic instruction and practice.

Integral rules

Properties that show how integrals can be rearranged.

$\int_{a}^{b} (f (x) + g (x)) d x = \int_{a}^{b} f (x) d x + \int_{a}^{b} g (x) d x$
$\int_{a}^{b} f (x) d x + \int_{b}^{c} f (x) d x = \int_{a}^{c} f (x) d x$
$\int_{a}^{b} (f (x) + g (x)) d x = \int_{a}^{b} f (x) d x + \int_{a}^{b} g (x) d x$
$\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x$
$\int a \cdot f (x) d x = a \int f (x) d x$

Related Glossary Terms

Definite integral, Indefinite integral

Index

Chapter 8 - Notation and Rules

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