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Help with complicated integral, simplifying

  1. Nov 12, 2008 #1
    need to integrate the following equation from 1 to 3


    what i tried to do was call x^2, y for example then what i have is (4Y^3+16Y)^0.5
    which i dont know how to integrate.
    what else can i do, somehow need to play with the equation.
  2. jcsd
  3. Nov 12, 2008 #2
    If you let y=x^2 you have to replace x^2 by y and 2xdx by dy.

    So I suggest you rewrite your integrand as


    Then applying the substitution, your integral becomes


    Can you finish from here?
  4. Nov 12, 2008 #3
    no, how do i integrate a sqr root with a squared number inside, the only format i have is for sqrt(ax+b)
  5. Nov 12, 2008 #4
    This is not so straightforward...are you familiar with the area hyperbolic functions (inverses of hyperbolic trigonometric functions)?
  6. Nov 12, 2008 #5
    no, any other ways
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