3940 Use the Wallis sine and cosine formulas: /20sinn x dx = 2 1 3 5 (n 1)2 4 6 n n

Chapter 14, Problem 39

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3940 Use the Wallis sine and cosine formulas: /20sinn x dx = 2 1 3 5 (n 1)2 4 6 n n evenand 2 /20sinn x dx = 2 4 6 (n 1)3 5 7 n n oddand 3 /20cosn x dx = 2 1 3 5 (n 1)2 4 6 n n evenand 2 /20cosn x dx = 2 4 6 (n 1)3 5 7 n n oddand 3Find the centroid of the solid bounded above by the paraboloidz = x2 + y2, below by the plane z = 0, and laterallyby the cylinder (x 1)2 + y2 = 1.

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