Solution to a tricky little Integral

March 16th, 2009 | Categories: general math, mathcad | Tags:

Some time ago now I wrote about an integral that Mathcad 14 had trouble with and also asked if anyone could solve it by hand.

 \light \int_0^{1}{\frac{asin(z)}{z}}

Well, James Graham-Eagle of the University of Massachusetts has risen to the challenge and provided me with the full solution as a pdf file which I offer to you all for your downloading pleasure.  Thanks James!

  1. Gordon
    March 16th, 2009 at 20:25
    Reply | Quote | #1

    Maxima doesn’t support this at all, symbolic or numeric, unless I’m missing something. Is anyone else able to get this to work?

    integrate (asin(x)/x, x,0,1);

    Both return the problem with no solution.

  2. I. J. Kennedy
    March 17th, 2009 at 16:33
    Reply | Quote | #2

    Mathematica handled this integral just fine, for what it’s worth.

  3. March 18th, 2009 at 18:48
    Reply | Quote | #3

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