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integrate r*((r*cos(t))^2-(r*sin(t))^2)/((r*cos(t))^2+(r*sin(t))^2) dr dt, r=1..2,t=-pi/2..pi/2
integrate r*((r*cos(t))^2-(r*sin(t))^2)/((r*cos(t))^2+(r*sin(t))^2) dr dt, r=1..2,t=-pi/2..pi/2
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