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integral sqrt(1-cos(ax)) dx
cos(2ax)=1-2sin2(ax) cos(ax)=1-2sin2(ax/2) 1-cos(ax)=2sin2(ax/2) sqrt(1-cos(x))=+[sqrt(2)] * sin(x/2) or -[sqrt(2)] * sin(x/2)
integral sqrt(1-cos(ax)) dx =integral{ [sqrt(2)] * sin(x/2) }dx
= -2 *sqrt(2)*cos(ax/2) +C or =2*sqrt(2)*cos(ax/2) +C (use both sines + and -)
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