Q. 12 - Calculus

Question

What is the difference between a double integral and an iterated integral?

Step-by-Step Solution

Answer

Ans: The double integral of a positive function of two variables, Whereas Iterated integral represents the method of evaluating the double integral.

Step 1. Given information:

 Double integral and an iterated integral.

Step 2. Discussing the difference between a double integral and an iterated integral:

Double integral:	Iterated integral:
1. The double integral of a positive function of two variables	1. Iterated integral represents the method of evaluating the double integral.
2. The volume of the region between the surface is defined by the function on the three-dimensional plane.	2. It explains as evaluating the double integral by first integrating the integrand with respect to one variable with the second variable being held constant and then integrating the resulting function with respect to the second variable.