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 …

What are the rules of integration? The rules of integration, also known as integration techniques or methods, are essential tools in calculus used to find antiderivatives and solve integrals.

Oct 21, 2024 · In any of the fundamental integration formulae, if x is replaced by ax+b, then the same formulae is applicable but we must divide by coefficient of x or derivative of (ax+b) i.e., a.

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.

Master all essential integration rules with clear formulas, stepwise examples, and downloadable cheat sheet. Boost your exam prep and solve integrals faster for Maths boards and JEE.

f (x) and g (x) are functions, and a, c, and n are real numbers (possibly with the usual restrictions). All formulas should include a +C at the end.

There are certain universal properties of integrals that can make it easier to manipulate and solve problems involving integrals. These different properties are summarized below: 1. When taking …