MathProblemsBank

9.1.4 Double integrals

Problem: Calculate the mass of the plate \( D \) with density, where \[ \mu=\frac{2 y-3 x}{x^{2}+y^{2}}, \quad D:\left\{\begin{array}{l} x^{2}+y^{2}=4 \\ x^{2}+y^{2}=16 \\ x=0, y=0,(x \leq 0, y \geq 0) \end{array}\right. \]

-> Double integrals