Reverse Integration: Solving \int_0^3\int_{y^2}^9 y \cos{x^2} dxdy

In summary, "reversing integration" is the process of undoing previous integration efforts, which can involve separating integrated systems, data, or processes. There are various reasons for wanting to reverse integration, such as changing business needs or compatibility issues. However, this can be a complex and challenging process that requires careful planning and coordination. To successfully reverse integration, a clear understanding of the systems and processes involved, a well-defined plan, and effective communication with stakeholders is important. The potential benefits of reversing integration include increased flexibility and agility, improved system performance and stability, and reduced complexity and maintenance costs.
  • #1
duki
264
0

Homework Statement



Evaluate the integral by reversing the order of integration.

Homework Equations



[tex]\int_0^3\int_{y^2}^9 y \cos{x^2} dxdy[/tex]

The Attempt at a Solution



I want to make sure I'm right so far before going on. I have the reversed limits as:
[tex] \sqrt{x} <= y <= 3[/tex]
[tex] 0 <= x <= 9[/tex]

Is this right?
 
Physics news on Phys.org
  • #2
i would try drawing the area, could be wrong, but i think it looks more like:
[tex] 0 <= y <= \sqrt{x}[/tex]
[tex] 0 <= x <= 9[/tex]
 
  • #3
you could also try both integrals to check you get the same area, though i suppose that's why you;re reversing the order in the first place
 
  • #4
Thanks!
 

1. What is "reversing integration"?

"Reversing integration" refers to the process of undoing or reversing previous integration efforts. This can involve separating previously integrated systems, data, or processes back into their original components.

2. Why would someone want to reverse integration?

There are several reasons why someone might want to reverse integration. These can include changing business needs, compatibility issues between integrated systems, or the need to break apart a larger system into smaller, more manageable components.

3. What are the challenges of reversing integration?

Reversing integration can be a complex and challenging process. It often involves untangling interconnected systems and data, as well as addressing any dependencies or conflicts that may arise. It also requires careful planning and coordination to ensure a smooth transition.

4. How can one successfully reverse integration?

To successfully reverse integration, it is important to have a clear understanding of the systems and processes involved, as well as a well-defined plan and timeline. It is also important to communicate with all stakeholders and involve them in the process, as well as to thoroughly test and validate the changes before implementing them.

5. What are the potential benefits of reversing integration?

Reversing integration can offer several potential benefits, such as increased flexibility and agility in adapting to changing business needs, improved system performance and stability, and reduced complexity and maintenance costs. It can also allow for better alignment of systems and processes with business goals and objectives.

Similar threads

  • Calculus and Beyond Homework Help
Replies
10
Views
416
  • Calculus and Beyond Homework Help
Replies
2
Views
135
  • Calculus and Beyond Homework Help
Replies
5
Views
670
  • Calculus and Beyond Homework Help
Replies
3
Views
547
  • Calculus and Beyond Homework Help
Replies
12
Views
977
Replies
11
Views
1K
  • Calculus and Beyond Homework Help
Replies
5
Views
894
  • Calculus and Beyond Homework Help
Replies
7
Views
674
Replies
9
Views
1K
  • Calculus and Beyond Homework Help
Replies
3
Views
867
Back
Top