Question Title: “Double and Triple Integrals: Change of Variables, Areas, and Vo

Question Title: “Double and Triple Integrals: Change of Variables, Areas, and Volumes”
Question Details:
Double Integrals: Explain the concept of double integrals and their significance in calculating areas under curves in two-dimensional space.
Triple Integrals: Discuss the concept of triple integrals and their applications in finding volumes of three-dimensional shapes and regions.
Change of Order of Integration: Illustrate the process of changing the order of integration in double integrals and its importance in simplifying calculations.
Change of Variables: Explore the technique of changing variables to polar, cylindrical, and spherical coordinates in double and triple integrals.
Applications 1 – Finding Areas: Demonstrate how double integrals can be used to find the area of a region bounded by curves in two-dimensional space.
Applications 2 – Finding Volumes: Show how triple integrals can be applied to calculate the volume of three-dimensional objects and regions.