> On 22/7 - pi = integral from 0 to 1 with respect to x of
> x^4[(1-x)^4]/(1 + x^2):
> whenever it was discovered, this intriguing fact can be guessed at from
> 1. the usual partial fraction method shows the integrand = 6th degree
> polynomial + 4/(1+x^2),so the integral must = R + pi, where R is rational;
of course, + should be - in two places in the line above. Sorry.
John Harper, School of Mathematical and Computing Sciences,
Victoria University, Wellington, New Zealand
e-mail john.harper@vuw.ac.nz phone (+64)(4)471 5341 fax (+64)(4)495 5045