1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Transform to polar coordinates

  1. Jun 23, 2008 #1
    Could someone please convert this double integral to polar coordinates?
    0<x<1, x*2<y<1 Int.Int f(x,y)dxdy
  2. jcsd
  3. Jun 23, 2008 #2


    User Avatar
    Homework Helper

    What is x*2?
  4. Jun 23, 2008 #3
    Sorry x^2
  5. Jun 23, 2008 #4
    If you draw your area, you ll see that it looks like 1/4 of a circle. Use something like that:
    x=1+rcos(fi), y=1+rsin(fi). R will be going from 0 to 1, fi from -pi/2 to 0 then. dxdy gets changed to rdrdfi.
    This is not the only solution of course.
  6. Jun 23, 2008 #5


    User Avatar
    Science Advisor
    Homework Helper

    (have an int: ∫ and a squared: ² and a theta: θ and a pi: π :smile:)

    The area is a triangle for π/4 < θ < π/2.

    For 0 < θ < π/4, you simply need to write the boundary as an equation in r and θ.

    Hint: for 0 < θ < π/4, each line of constant θ has tanθ = y/x, and it hits the boundary at y = x².

    So what is the value of x at the boundary … and what value of r does that correspond to? :smile:
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Transform to polar coordinates
  1. Polar coordinates (Replies: 1)

  2. Polar Coordinates (Replies: 1)

  3. Polar Coordinates (Replies: 9)