Alasdair McAndrew wrote:
> Thanks - I discovered the rtest_integrate.mac file seconds after
> sending my message, and as usual felt like a blank fool.
>
> Here's an integral which Reduce can do (with its "algint" package) but
> Maxima can't:
>
> integrate(sqrt(x+sqrt(1+x^2))/x,x);
>
> Interestingly, the result only contains elementary functions (log, atan).
>
Too bad that maxima can't do this integral by itself. It's not hard to
have maxima figure it out though. Just use the substitution x =
sinh(y). Trigsimp and exponentialize the result, and integrate again,
and you'll get an expression with just log, atan, and exp(y).
Any other interesting integrals?
Ray