Re: Help for solving this Integrate[Sqrt[t*(1-t)*

*To*: mathgroup at smc.vnet.net*Subject*: [mg112821] Re: Help for solving this Integrate[Sqrt[t*(1-t)**From*: Bob Hanlon <hanlonr at cox.net>*Date*: Sat, 2 Oct 2010 05:43:44 -0400 (EDT)

Assuming that you intend for the Sqrt to encompass the entire argument, $Version "7.0 for Mac OS X x86 (64-bit) (February 19, 2009)" Plot3D[Sqrt[t*(1 - z)*(t - z)], {z, 0, 2}, {t, 0, 2}] Assuming[#, Integrate[Sqrt[t*(1 - z)*(t - z)], {t, 0, z}]] & /@ {{0 < z}, {0 < z < 1}, {1 < z}} {-((z^2*(2*I*Sqrt[1/(1 - z)]* Sqrt[-1 + z]* Log[2*I*Sqrt[z]] + Log[4*z]))/ (8*Sqrt[1/(1 - z)])), (1/8)*I*Pi* Sqrt[1 - z]*z^2, (1/8)*Pi*Sqrt[-1 + z]*z^2} Bob Hanlon ---- Hugo <hpe650820 at gmail.com> wrote: ============= Could any body help me to solve the following integral in mathematica? Integrate[sqrt[t * (1-z)*(t-z),{t,0,z}]; t and z are reals; z>0 I did make a mistake posting the wrong equation yesterday, I apologize for that. Any help would be appreciate, Hugo