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Math Help - Switch to polars to evaluate integral

  1. #1
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    Switch to polars to evaluate integral

    For b>0,   a - b > 1, let f_{ab}(x,y) = |xy|^b / (x^2+y^2+1)^a. Use polar coordinates to integrate f_{ab} over \Re^2.
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  2. #2
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    Quote Originally Posted by Amanda1990 View Post
    For b>0,   a - b > 1, let f_{ab}(x,y) = |xy|^b / (x^2+y^2+1)^a. Use polar coordinates to integrate f_{ab} over \Re^2.
    Looks pretty straightforward to me. In polar coordinates x= r cos(\theta) and y= r sin(\theta) so |xy|^b= r^{2b}|cos(\theta)sin(\theta)|^b and x^2+ y^2+ 1= r^2+ 1. What is dxdy?
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  3. #3
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    Well yes, I can find all the terms, I just can't do the integral!
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