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Need help figuring out integral

  1. Jan 9, 2010 #1
    I took calc a year ago, and already am apparently rusty. I'm trying to figure out how to evaluate the integral: [tex] \int (x^2+y^2)^(^-^3^/^2) dy[/tex]. This isn't a homework problem by the way, its actually an example problem in the book, but they don't show step by step how they got to the answer. If someone could go through this step by step that would be really nice :). You're just supposed to treat the x^2 as a constant, right? I get as far as: [tex](-2 (x^2+y^2)^(^-^1^/^2^)) / 2y [/tex] but I'm not even sure if that much is correct. Thanks for any help.
    Last edited: Jan 9, 2010
  2. jcsd
  3. Jan 10, 2010 #2


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    Welcome to PF!

    Hi crossroads! Welcome to PF! :smile:

    (have an integral: ∫ and a square-root: √ and try using the X2 tag just above the Reply box :wink:)

    Yes, x2 is a constant.

    No, it isn't -1/y√(x2 + y2).

    Hint: try a trig substitution. :wink:
  4. Jan 10, 2010 #3
    Thanks for the hint and the welcome. I got the answer, but it looks like I need to review my trig substitutions and integration by substitution.
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