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...

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

There are different types of integral rules and the most commonly used ones are mentioned below: Here are the basic integration rules where each of them can be cross verified by …

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

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 …

A Review: The basic integration formulas summarise the forms of indefinite integrals for may of the functions we have studied so far, and the substitution method helps us use the table below …

The following diagrams show some examples of Integration Rules: Power Rule, Exponential Rule, Constant Multiple, Absolute Value, Sums and Difference. Scroll down the page for more …

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.

May 27, 2025 · Simplify your understanding of basic integration rules in Calculus I with this step-by-step guide, covering key techniques and examples.

Nov 6, 2025 · The key is to remember that integration is the reverse of differentiation. Start with the basic rules, practice substitution and parts, and soon even difficult problems will feel simple.