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Integral print that page

bounded by the graph of ƒ , the x -axis, and the vertical lines x  = a and x  =  b . The term integral may also refer to the notion of antiderivative , a function F whose derivative is the given function ƒ . In this case, it is called an indefinite integral and is written:

wikipedia.org | 2011/9/17 7:29:19

INTEGRAL print that page

Integral_artist_illust

The European Space Agency 's INTErnational Gamma-Ray Astrophysics Laboratory ( INTEGRAL ) is an operational Earth satellite, launched in 2002 for detecting some of the most energetic radiation that comes from space. It is the most sensitive gamma ray observatory ever launched. [ 1 ] INTEGRAL

J integral print that page

The J- integral represents a way to calculate the strain energy release rate , or work ( energy ) per unit fracture surface area, in a material. [ 1 ] The theoretical concept of J integral was developed in 1967 by Cherepanov [ 2 ] and in 1968 by Jim Rice [ 3 ] independently, who showed

wikipedia.org | 2011/8/1 2:14:52

B Integral print that page

In nonlinear optics , B Integral is a measure of the nonlinear phase shift of light. It calculates the exponential growth of the least stable spatial frequency in a laser beam , and is the numerical equivalent of the nonlinear phase shift along the laser system's optical axis. In a multipass

wikipedia.org | 2011/2/25 17:46:57

Multiple integral print that page

The multiple integral is a type of definite integral extended to functions of more than one real variable , for example, ƒ ( x ,  y ) or  ƒ ( x ,  y ,  z ). Integrals of a function of two variables over a region in ℝ 2 are called double integrals. Contents 1 Introduction

wikipedia.org | 2011/9/8 18:04:12

Riemann integral print that page

In the branch of mathematics known as real analysis , the Riemann integral , created by Bernhard Riemann , was the first rigorous definition of the integral of a function on an interval . [ 1 ] While the Riemann integral is unsuitable for many theoretical purposes, it is one of the easiest

wikipedia.org | 2011/9/18 9:38:28

Gaussian integral print that page

The Gaussian integral , also known as the Euler-Poisson integral or Poisson integral , [ 1 ] is the integral of the Gaussian function e − x 2 over the entire real line. It is named after the German mathematician and physicist Carl Friedrich Gauss . The integral is: This integral

wikipedia.org | 2011/8/8 12:43:32

Dirichlet integral print that page

In mathematics , there are several integrals known as the Dirichlet integral , after the German mathematician Peter Gustav Lejeune Dirichlet . One of those is This can be derived from attempts to evaluate a double improper integral two different ways. It can also be derived using differentiation

wikipedia.org | 2011/6/30 6:34:05

Differentiation under the integral sign print that page

continuous derivatives for . Then for   : This formula is the general form of the Leibniz integral rule and can be derived using the fundamental theorem of calculus . The fundamental theorem of calculus is just a particular case of the above formula, for , a constant, and . If both

wikipedia.org | 2011/8/18 1:59:28

Path integral formulation print that page

The path integral formulation of quantum mechanics is a description of quantum theory which generalizes the action principle of classical mechanics . It replaces the classical notion of a single, unique trajectory for a system with a sum, or functional integral , over an infinity of possible

wikipedia.org | 2011/7/31 20:51:24