Which step is not correct？ m=\int_0^(2\sqrt(2)) \int_(-\sqrt(8-x^(2)))^(\sqrt(8-x^(2))) \int_(-1)^2 \sqrt(1 x^(2) y^(2))dzdydx step 1 region D is halt of a dist =\int_(-(\pi )/(2))^((\pi )/(2)) \int_0^(2\sqrt(2)) \int_(-1)^2 \sqrt(1 r^(2))dz(rdrd\theta ) use cylandrical coords =\int_(-(\pi )/(2))^((\pi )/(2)) d\theta \int_0^(2\sqrt(2)) \sqrt(1 r^(2))dr\int_(-1)^2 dx {(:[ step 3 u-sub for moste interpal ]):} =\pi (1)/(2)(1 r^(2))^((3)/(2))|[(_(0)^(2\sqrt(2)))3]| darr stept =(3\pi )/(2stan5)(9^((3)/(2))-1^((3)/(2))) {(:[darr(sin5)/(2)(27-1)]):} =[(3\pi )/(2)(27-1)] darr 然频 6 =39\pi
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Let's analyze each step: **Initial Integral:** $$M = \int_0^{2\sqrt{2}} \int_{-\sqrt{8-x^2}}^{\sqrt{8-x^2}} \int_{-1}^2 \sqrt{1+x^2+y^2} dz dy dx$$ Show more…
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