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Double integrals

A double integral is an integral of two variable function f(x,y) over a region R If R=[a, b] × [c, d] then the double integral can be done by iterated Integration.

Double integrals

A double integral is an integral of two variable function f(x,y) over a region R If R=[a, b] × [c, d] then the double integral can be done by iterated Integration( integrate first with respect to y and then with respect to x )

The notation used for double integral is

Here the function f(x,y) is integrated with respect to y first and treat f(x) constant and then integrate with respect to x and apply limits of x and simplify

Solutions:

Let us first integrate with respect to y and then with respect to x. Hence the double integral is written as

Solution:

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11th Statistics : Chapter 7 : Mathematical Methods : Double integrals | Formula, Solved Example Problems