integrate(1/(sin(x)^2+1),x,a,b)?

• Subject: integrate(1/(sin(x)^2+1),x,a,b)?
• From: Richard Fateman
• Date: Wed, 27 Jun 2007 12:29:15 -0700

Here is what commercial macsyma gets. I don't know what it boils down to.
RJF


limit(((atan(((2 * tan(z + x))/(sqrt(2)))))/(sqrt(2))) + ((sqrt(2) * %pi *
floor((z/(%pi)) + (x/(%pi)) + (1/2)))/2) - ((sqrt(2) * %pi)/2),x,0,minus) +
((sqrt(2) * %pi)/2) 


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