1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Tough integral

  1. Dec 8, 2009 #1
    Hi,

    Can anyone suggest how to integrate the following function, in which all the c's are constants:

    c1 * x^c2 * ln [ -1 + sqrt (1 + c3 * x^c4) ]

    Much obliged!
     
  2. jcsd
  3. Dec 8, 2009 #2
    Well, Mathematica yields:

    -(1/(2 (1 + c2)^2))
    c1 x^(1 +
    c2) (c4 +
    c4 Hypergeometric2F1[1/2, (1 + c2)/c4, (1 + c2 + c4)/
    c4, -c3 x^c4] - 2 (1 + c2) Log[-1 + Sqrt[1 + c3 x^c4]])

    I am not familiar with the Hypergeometric2F1 function.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Tough integral
  1. Tough integral (Replies: 1)

  2. Tough Integral (Replies: 4)

  3. A tough integral (Replies: 1)

  4. Tough integral (Replies: 2)

  5. Tough Integral (Replies: 3)

Loading...