Solving Double Integrals Using U-Substitution

  • Thread starter Thread starter xtrubambinoxpr
  • Start date Start date
  • Tags Tags
    Calc 3 Integration
Click For Summary
The discussion revolves around solving double integrals using u-substitution. Initially, the user is confused about whether to apply integration by parts or substitution. After some effort, they successfully determine that u-substitution with U = xy^2 and du = 2xy simplifies the problem. The user highlights that treating x as a constant during the substitution made the integration process easier. The conversation emphasizes the importance of showing work in problem-solving, even if it's just a brief indication of the steps taken.
xtrubambinoxpr
Messages
86
Reaction score
0

Homework Statement



Attached below

Homework Equations





The Attempt at a Solution




So I cannot figure this out. Would this be integration by parts? or by substitution.. It provides me with an answer but no reasoning behind it and I cannot figure it out =/
 

Attachments

  • Screen Shot 2014-03-15 at 11.35.50 AM.png
    Screen Shot 2014-03-15 at 11.35.50 AM.png
    2.8 KB · Views: 497
Physics news on Phys.org
xtrubambinoxpr said:

Homework Statement



Attached below

Homework Equations





The Attempt at a Solution




So I cannot figure this out. Would this be integration by parts? or by substitution.. It provides me with an answer but no reasoning behind it and I cannot figure it out =/

PF rules require you to show your work. What have you tried so far?
 
Ray Vickson said:
PF rules require you to show your work. What have you tried so far?

I had done so much work I didnt want to type it and was going to upload a picture, But indeed I figured it out.. Using U sub with U = xy^2 du = 2xy and x was a constant so it was factored out leaving everything peachy!
 
xtrubambinoxpr said:
I had done so much work I didnt want to type it and was going to upload a picture, But indeed I figured it out..
You don't have to show us all your work - just give us some indication that you have done something.
xtrubambinoxpr said:
Using U sub with U = xy^2 du = 2xy and x was a constant so it was factored out leaving everything peachy!
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K
Replies
9
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 18 ·
Replies
18
Views
3K
Replies
10
Views
2K