Evaluate the following integral in cylindrical coordinates. ?_{-3}^{3} ?_{0}^{?{9-x^2}} ?_{0}^{2} rac{1}{1+x^2+y^2} dz dy dx ?_{-3}^{3} ?_{0}^{?{9-x^2}} ?_{0}^{2} rac{1}{1+x^2+y^2} dz dy dx = rac{2}{3} ? ln 5 (Type an exact answer, using ? as needed.)
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The region lies in the positive y direction and is a half of a disk with radius 3 projected onto the xy plane. Show more…
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