Integration can be used to find areas, volumes, central points and many useful things. It is often used to find the area underneath the graph of a function and the x-axis.

Definite Integrals Rules Definite Integral Boundaries ∫abf (x) dx = F (b) − F (a) = limx → b − (F (x)) − limx → a + (F (x)) Odd function If f (x) = −f (−x) ⇒∫−aa f (x) dx = 0

Integration rules are rules that are used to integrate any type of function. Some of these rules are pretty straightforward and directly follow from differentiation whereas some are difficult and …

Jul 23, 2025 · In the following sections, we will explore the most commonly used integration rules that form the foundation of integral calculus. These rules not only simplify the process but also …

Calculus’ basic theorem relates integrals with derivatives, making integral evaluation easier. The power rule, substitution rule, and integration by parts are all important formulae. …

A tutorial, with examples and detailed solutions, in using the rules of indefinite integrals in calculus is presented. A set of questions with solutions is also included.

Basic Integration Rules Trigonometric Integrals Inverse Trigonometric Integrals Exponential and Logarithmic Integrals

Nov 8, 2024 · These rules make it easier to work with different types of functions and solve integrals efficiently. In this article, we will cover the fundamental integration rules and provide …

Differentiation and Integration Rules A derivative computes the instantaneous rate of change of a function at different values. An indefinite integral computes the family of functions that are the …

The Table of Integrals found in the back of the Openstax textbook (referenced at the bottom of the page) is a helpful resource for more integral properties.