Calculus and AnalysisUse a double integral to find the volume of the indicated solid.
2 years ago
Use a double integral to find the volume of the indicated solid. z = 1-xy, y=x, y=1
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cyndilauperconcertadelaide Staff answered 2 years ago
Inferred integral to find volume of indicated solid int_(0)^(1)int_(0)^(y)(1-xy)dxdy Integration with respect to x int_(0)^(1)[x-(x^(2)y)/(2)]dy Evaluation with respect to x int_(0)^(1)(y-(y^(3))/(2))dy Integration with respect to y (y^(2))/(2)-(y^(4))/(8) Evaluation with respect to y (3)/(8) Result: (3)/(8)
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