Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Need help figuring out integral
Loading...