I recently stumbled upon something that looks like a bug: Try to integrate the following function:
f(x)=log(1+4*cos(x)+4) integrate(f,x,0,pi) According to the following video (https://www.youtube.com/watch?v=nscSDYApAjM) the result should be 2*pi*log(2) But my local Sage as well as online I get this result: 1/12*I*pi^2 + pi*log(3) - 1/2*pi*log(9/4) + 1/2*I*log(2)^2 - I*dilog(2) + I*dilog(-1/2) + I*dilog(-2) which is a complex number instead. Similarly this function g(x)=log(1+cos(x)+1/4) integrate(g,x,0,pi) results in 1/12*I*pi^2 - pi*log(3) + 1/2*pi*log(9/4) + 1/2*I*log(2)^2 - I*dilog(2) + I*dilog(-1/2) + I*dilog(-2) although it should be ZERO. Any thoughts? -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-devel/36e0d2f2-b1c7-477b-9523-b919ac176cban%40googlegroups.com.
