You know z>0. Since x has limits, one of your equations puts limits on y.Richardbryant said:i can't think of the y interval of the integral
"Integrating Multiple Solid Volumes" refers to the process of finding the total volume of multiple solid objects by combining their individual volumes.
In this context, the xy-plane refers to the 2-dimensional coordinate plane where the x and y axes intersect. This is where the integration will take place.
x=1 and x=3 represent the boundaries of the integration along the x-axis. This means that the integration will only take place between these two values.
Integrating multiple solid volumes is useful in many scientific fields, such as physics, engineering, and chemistry. It allows for the calculation of the total volume of complex 3-dimensional objects, which is important in understanding their properties and behavior.
Integrating multiple solid volumes has many real-life applications, such as calculating the volume of fluids in a container, determining the amount of material needed for construction projects, and analyzing the shape and size of biological structures in medicine and biology.