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In version 8 the integral is very simply solved without any explicit assuptions: $Version (* Out[6]= "8.0 for Microsoft Windows (64-bit) (October 7, 2011)" *) Integrate[Sqrt[a + b Cos[q]], q] (* Out[5]= (2 Sqrt[a + b Cos[q]] EllipticE[q/2, (2 b)/(a + b)])/Sqrt[(a + b Cos[q])/(a + b)] *)


3

You've used the dot product operator (.) instead of the times operator (*). In some languages like Matlab, * is the dot operator, but in Mathematica they are different. {1,2,3} * 0 == {0,0,0} {1,2,3} * {0,0,0} == {0,0,0} {1,2,3} . {0,0,0} == 0 Since you are refining a vector dotted with 0, Mathematica doesn't know how to simplify this, so it simply ...



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