A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

If you have a region R in the xy plane bounded by y^2=2x and y=x, find the area of R.

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I want to mention that this problem is solved using double integrals.

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    First find the intercepts, so subbing y=x into the first equation. You will find the intercepts at (0,0) and (2,2). So integrating vertical pieces, it's the double integral of dydx, with your bounds for y being from x to sqrt(2x) and your bound for x being from 0 to 2. Solving this integral, you will see its the same thing as doing it as a single integral

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks for your prompt answer. I don't quite understand what you mean by integrating vertical pieces?

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm not very good at explaining this part but I think when you integrate the y, the bounds are not constant, so you have strips that that vary in height. Then you integrate those strips over that over the x boundary which is a constant. If you integrate dxdy first, then you would be integrating horizontal strips vertically

  5. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.