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Basic Integration

  1. Apr 8, 2010 #1
    How do I integrate equations such as:

    (x^2 + y^2)^-1/2 dx


    I've completely forgotten and I'm in Uni at the moment. I was answering a question on find the electric field of a charged rod and I couldn't finish it because I didn't know how to integrate something like this.
  2. jcsd
  3. Apr 8, 2010 #2


    Staff: Mentor

    First off, that's not an equation. An equation always has = somewhere in the middle.

    The usual approach for this type of integral is trig substitution, with tan w = x/y, sec^2(w)dw = dx/y, and y sec(w) = sqrt(x^2 + y^2). (As far as the integration is concerned, y is considered to be a constant.)
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