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Multivariable CalculusMediumTriple Integrals & Coordinate Systems

Triple Integrals & Coordinate Systems · Medium problem

Let EE be the quarter-cylinder x≥0x \ge 0, y≥0y \ge 0, x2+y2≤1x^2 + y^2 \le 1, 0≤z≤20 \le z \le 2. Evaluate ∭Exy dV\displaystyle\iiint_E xy\,dV.