Double integrals over General Regions. (HELP PLEASE )

  • Thread starter Thread starter afcwestwarrior
  • Start date Start date
  • Tags Tags
    General Integrals
Click For Summary

Homework Help Overview

The discussion revolves around evaluating double integrals over a specified region defined by certain curves and a surface equation. The original poster seeks assistance in using a computer algebra system to determine the volume of the solid above the defined region.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the necessity of knowing the limits of integration and whether the computer algebra system should determine these limits automatically. There is also a suggestion to manually solve the integral first to verify results.

Discussion Status

The conversation is ongoing, with participants exploring different approaches to setting up the problem and questioning the assumptions regarding the use of technology for solving the integral.

Contextual Notes

There are mentions of specific limits for integration, but these may not align with the original problem setup. The need for clarification on the type of computer algebra system and its capabilities is also noted.

afcwestwarrior
Messages
453
Reaction score
0
Double integrals over General Regions. (HELP PLEASE !)

Use a computer algebra system to find the exact volume of the solid.

Under the surface z = x^3 * y^4 + xy^2

and above the region bounded by the curves y = x^3 - x and y = x^2 + x for x >= 0



How do I use a computer algebra system to find the volume.
 
Physics news on Phys.org


Do you want the algorithm to find the limits for you then solve it? Or do you require the user to know the limits etc...

We need some assumptions about your program.
 


The limits for X is 0 to -1 and for Y it's -.25 to .4

Do I need a TI-89 to do this problem.
 


First, simple solve the integral by hand to get a check value against the computer system.
 

Similar threads

  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
3
Views
2K
Replies
10
Views
2K
Replies
4
Views
2K
  • · Replies 27 ·
Replies
27
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
4
Views
2K
Replies
9
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K