Main Profile

At A Glance

Activity Definite Integrals

Check us out at A definite integral is an integral with upper and lower limits. If is restricted to lie on the real line, the definite integral is known as a Riemann integral (which is the usual definition encountered in elementary textbooks). However, a general definite integral is taken in the complex plane, resulting in the contour integral with , , and in general being complex numbers and the path of integration from to known as a contour. The first fundamental theorem of calculus allows definite integrals to be computed in terms of indefinite integrals, since if is the indefinite integral for a continuous function , then This result, while taught early in elementary calculus courses, is actually a very deep result connecting the purely algebraic indefinite integral and the purely analytic (or geometric) definite integral. Definite integrals may be evaluated in Mathematica using Integrate[f, x, a, b ]
Length: 00:54


Questions about Activity Definite Integrals

Want more info about Activity Definite Integrals? Get free advice from education experts and Noodle community members.

  • Answer