Register to reply

Double integrals

by vacuum
Tags: double, integrals
Share this thread:
vacuum
#1
Apr3-03, 01:59 PM
P: 26
Here's the deal:

When you transform a double intergral that goes over a set
D < RxR bounded on y-axes by g1(x) and g2(x) in two "normal" ones(litteral translation from my language would be subsequent integrals - don't know the word in English) how do you swap the integrals by x and by y(taking y from y1=const to y2=const and x from h1(y) to h2(y)) without visualising the surface itself?

In other words is there any recipe for this kind of transformation or is it always done ad hoc i. e. drawing a picture which you try to figure out?
Phys.Org News Partner Science news on Phys.org
Experts defend operational earthquake forecasting, counter critiques
EU urged to convert TV frequencies to mobile broadband
Sierra Nevada freshwater runoff could drop 26 percent by 2100
HallsofIvy
#2
Apr4-03, 05:57 AM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,566
The English phrase is "repeated integral" or "iterated integral".

There is no general formula for changing the limits of integration.

Depending on the specific regions, the integral can be MUCH more complicated one way than the other.
vacuum
#3
Apr4-03, 08:12 AM
P: 26
Thanks!


Register to reply

Related Discussions
Double integrals Calculus & Beyond Homework 5
Double integrals Calculus & Beyond Homework 1
Double Integrals - Calculus & Beyond Homework 1
Double Integrals General Math 9
Double Integrals Introductory Physics Homework 9