> Nasser and I agree that Maple failed to integrate problem 9. On problem 10, I entered the integrand as > > x^3*exp(1)^arcsin(x)/sqrt(1-x^2) > > whereas he probably entered it as > > x^3*exp(arcsin(x))/sqrt(1-x^2) > > Because of some bazaar quirk in Maple, it succeeds in integrating the former and not the latter! >Perhaps some Maple aficionado can justify, or at least explain, this phenomena... > > Albert >
That is interesting. I wonder how you discovered this. It would never have occurred to me to try that.
I updated the table for the 10 integrals, I suppose it is fair to give this one to Maple now. I am using now Maple 17.01 (version just came out). So maple now has 9/10 as well.
I also made a full trace of this problem 10, one with
and another trace with
to try to find why Maple gives an answer for one case and not the other.
Will look at the traces more later. But if someone like to try find out, the traces are uploaded as well in HTML and PDF format. They are under the Maple download section: