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 …

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 …

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

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.

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.

Oct 8, 2025 · Integration, in mathematics, technique of finding a function g(x) the derivative of which, Dg(x), is equal to a given function f(x). This is indicated by the integral sign “∫,” as in …

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.