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IS E N ( In 1 to) os yz Inx Use part (a) to change the order of integration and evaluate the integral. [You may
IS E N ( In 1 to) os yz Inx Use part (a) to change the order of integration and evaluate the integral. [You may find it useful to recall that the antiderivative of Inc is r lnr - I X = 2 X -1 dxdy y = In 2 in 2 BYs xs 2 extnix dxdy 2 X 5 ) [ xenx - x ]. dy = [*= [ (2 in 2-2) +1 2yen 2 - yl 2 (In 2) ( In 2 ) - In 2 ) - 0 Problem 2. Use triple integrals to calculate the volume of the solid region bounded below by the cone z = Vr2 + y2 and bounded above by the plane z = a where a is some positive number. Hint: do not use Cartesian coordinates] (r, 0, 2 ) IN rdedrdo 2 2TT sar dadrdo V
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