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\[\int\limits_{0}^{\pi/2}\int\limits_{3}^{6}(r \cos \theta)^{2}-2(r \sin \theta)^{2}r drd \theta\]
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should there be an i before the sin ?
no
because if it is about polar coordinates it should be in rcis(theta) format. Are you sure there is no imaginary numbers anywhere in the question?
Evaluate the integral ∫∫R(x^2−2y^2)dA, where R is the first quadrant region between the circles of radius 3 and radius 6.
is the original question
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