Labware - MA35 Multivariable Calculus - Two Variable Calculus



Volume between Function Graphs


It is possible to integrate over a region in the plane bounded by the function graphs of two functions c(x) and d(x) both defined on an interval a {leq} x {leq} b.

The volume underneath f(x,y) for this non-rectangular region can be calculated using itererated integration with x ranging from a to b and y ranging from c(x) to d(x).



  • 1. How could you modify the problem addressed in this lab so that it only involves one function, instead of two?
  • 2. Find two functions of x and y which enclose a region whose volume is finite (i.e. they intersect to form a closed curve).