Textbook Guide Mathematics: The Technique, Spherical Wedge, Iterated Integral

• School: UTSG
• Department: Mathematics
• Course: MAT133Y1
• Professor: all

Document Summary

Multiple integrals belong to the class of definite integral. These integrals may be double or triple in nature and applicable to functions of 2 or 3 variables. The main benefit of employing multiple integral is to enable the computation of areas, volumes, masses, moment of inertia and the centre of mass of various surfaces and solid objects. You may also use the multiple integral to determine joint probability densities of functions. The computation of multiple integral can be successfully initiated within rectangular, cylindrical, or spherical coordinate systems for various kinds of surfaces and solid regions. It is important to note that an extensive understanding of definite integrals of functions of a single variable is required to successfully derive and compute multiple integrals of solids. Many of the concepts and techniques for deriving and solving multiple integrals are similar to procedures used in determining area under curves using the trapezoidal or simpsons rule.