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Please show the steps: Evaluate the integral: 243_52 A x xdx x2 A rectangular solid (with a square base and open top) has a surface

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Evaluate the integral: 243_52 A x xdx x2 A rectangular solid (with a square base and open top) has a surface area of 337.5 square centimeters. Find the dimensions that will result in a solid with maximum volume. Evaluate the integrals: a) [(4x3 + 2x2 5)dx b) [363(2):4 + 1)4dx

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