Global Information Lookup Global Information

Euler substitution information


Euler substitution is a method for evaluating integrals of the form

where is a rational function of and . In such cases, the integrand can be changed to a rational function by using the substitutions of Euler.[1]

  1. ^ N. Piskunov, Diferentsiaal- ja integraalarvutus körgematele tehnilistele öppeasutustele. Viies, taiendatud trukk. Kirjastus Valgus, Tallinn (1965). Note: Euler substitutions can be found in most Russian calculus textbooks.

and 15 Related for: Euler substitution information

Request time (Page generated in 0.7932 seconds.)

Euler substitution

Last Update:

Euler substitution is a method for evaluating integrals of the form ∫ R ( x , a x 2 + b x + c ) d x , {\displaystyle \int R(x,{\sqrt {ax^{2}+bx+c}})\,dx...

Word Count : 1771

Integration by substitution

Last Update:

In calculus, integration by substitution, also known as u-substitution, reverse chain rule or change of variables, is a method for evaluating integrals...

Word Count : 3311

List of things named after Leonhard Euler

Last Update:

mathematician Leonhard Euler (1707–1783), who made many important discoveries and innovations. Many of these items named after Euler include their own unique...

Word Count : 1620

Euler method

Last Update:

In mathematics and computational science, the Euler method (also called the forward Euler method) is a first-order numerical procedure for solving ordinary...

Word Count : 4955

Trigonometric substitution

Last Update:

mathematics, a trigonometric substitution replaces a trigonometric function for another expression. In calculus, trigonometric substitutions are a technique for...

Word Count : 3869

Conversion between quaternions and Euler angles

Last Update:

Spatial rotations in three dimensions can be parametrized using both Euler angles and unit quaternions. This article explains how to convert between the...

Word Count : 3305

Gamma function

Last Update:

}t^{z-1}e^{-t}\,dt} converges absolutely, and is known as the Euler integral of the second kind. (Euler's integral of the first kind is the beta function.) Using...

Word Count : 13429

Venn diagram

Last Update:

as by Christian Weise in 1712 (Nucleus Logicoe Wiesianoe) and Leonhard Euler (Letters to a German Princess) in 1768. The idea was popularised by Venn...

Word Count : 3135

List of calculus topics

Last Update:

method Integration by substitution Tangent half-angle substitution Differentiation under the integral sign Trigonometric substitution Partial fractions in...

Word Count : 389

Random walk model of consumption

Last Update:

model uses the Euler numerical method to model consumption. He created his consumption theory in response to the Lucas critique. Using Euler equations to...

Word Count : 842

Gompertz constant

Last Update:

In mathematics, the Gompertz constant or Euler–Gompertz constant, denoted by δ {\displaystyle \delta } , appears in integral evaluations and as a value...

Word Count : 678

Change of variables

Last Update:

understood problem. Change of variables is an operation that is related to substitution. However these are different operations, as can be seen when considering...

Word Count : 2693

Thermodynamic potential

Last Update:

formula is known as an Euler relation, because Euler's theorem on homogeneous functions leads to it. (It was not discovered by Euler in an investigation...

Word Count : 4378

Calculus of variations

Last Update:

Functions that maximize or minimize functionals may be found using the Euler–Lagrange equation of the calculus of variations. A simple example of such...

Word Count : 9263

Integration by parts

Last Update:

Determining boundary conditions in Sturm–Liouville theory Deriving the Euler–Lagrange equation in the calculus of variations Considering a second derivative...

Word Count : 6868

PDF Search Engine © AllGlobal.net