Example 5-6-3 - Maple Help



Chapter 5: Double Integration



Section 5.6: Changing Variables in a Double Integral



Example 5.6.3



 Let $R$ be the first-quadrant region bounded by the curves ${C}_{1}:{x}^{2}-{y}^{2}=1$, ${C}_{2}:{x}^{2}-{y}^{2}=4$, ${C}_{3}:{x}^{2}+{y}^{2}=9$, ${C}_{4}:{x}^{2}+{y}^{2}=16$. Use the change of coordinates $u={x}^{2}-{y}^{2},v={x}^{2}+{y}^{2}$ to evaluate the Cartesian integral .