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

One tough integral

Tags:
  1. Nov 4, 2014 #1
    I would like to know the following indefinite integral:

    (INTEGRAL)arcsin(x/c) dx / tan(x). c is a constant.
    This is not homework...I found it in fron of me while trying to make a 3d model of an enveloped worm gear. I can explain to anyone who isn't bored.
    PLEASE tell me there is a solution...I so feel not :(
     
  2. jcsd
  3. Nov 4, 2014 #2

    chiro

    User Avatar
    Science Advisor

    Hey Gmen.

    I guess you should probably ask whether you need it in a closed form using elementary, trig, and transcendental functions or whether you could do something like say a series expansion (like a Taylor series) and integrate it term by term.

    You can use this and depending on how much error you can tolerate just find the cut-off term and compute all terms till that term.
     
  4. Nov 5, 2014 #3
    This was a really helpful idea. Differentiating is always easier (and possible!) than integrating, and it becomes just a matter of loveable polynomial integration! Thanks! I shall remember this in difficult integrals to come.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: One tough integral
  1. Tough Integral (Replies: 11)

  2. One tough integral (Replies: 5)

  3. Tough integration (Replies: 9)

  4. Tough integral (Replies: 1)

  5. A tough integral (Replies: 10)

Loading...