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Math Help - Change of variables

  1. #1
    Pur
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    Change of variables

    Evaluate by switching to polar coordinates:
    \iint_D \sqrt{x^2+y^2} dA. where D is the semicircle of radius 1 centered at (1,0) and  y\geq 0

    Having difficulties determining r
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  2. #2
    Flow Master
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    Quote Originally Posted by Pur View Post
    Evaluate by switching to polar coordinates:
    \iint_D \sqrt{x^2+y^2} dA. where D is the semicircle of radius 1 centered at (1,0) and  y\geq 0

    Having difficulties determining r
    (x - 1)^2 + y^2 = 1 \Rightarrow x^2 - 2x + 1 + y^2 = 1 \Rightarrow r^2 - 2 r \cos \theta = 0 \Rightarrow r = 0 or r = 2 \cos \theta.
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