Integration is a way of adding slices to find the whole. Integration can be used to find areas, volumes, central points and many useful things.

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 inverse process of finding derivatives is finding the integrals. The integral of a function represents a family of curves. Finding both derivatives and integrals form the fundamental …

Jul 23, 2025 · Some of the basic formulas of integration, which are used to solve integration problems are discussed below. They are derived from the fundamental theorem of integration.

1. Common Integrals. 2. Integrals of Rational Functions. 4. Integrals of Logarithmic Functions. 2 ! i ⋅ i ! 5. Integrals of Trig. Functions.

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

Nov 11, 2025 · So while there are some functions whose integrals can be evaluated using the standard techniques in this article, many more cannot. We go over the basic techniques of …

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 …

We begin with some problems to motivate the main idea: approximation by a sum of slices. The chapter confronts this squarely, and Chapter 13 concentrates on the basic rules of calculus …

Familiarize yourself with basic geometric formulas (e.g., areas of rectangles, triangles, circles) for simple integral evaluations. Visualize the definite integral as the signed area under a curve. …