The first documented systematic technique capable of determining integrals is the method of exhaustion of the ancient Greek astronomer Eudoxus and philosopher Democritus (ca. 370 BC), which sought to find areas and v… 展开

In general, the integral of a real-valued function f(x) with respect to a real variable x on an interval [a, b] is written as
The integral sign ∫ represents integration. The symbol dx, called the differential of the variable x, indica… 展开

Integrals appear in many practical situations. For instance, from the length, width and depth of a swimming pool which is rectangular with a flat bottom, one can determine the volume of water it can contain, the are… 展开