Theory and ExamplesSuppose that f(x, y) can be written as

Chapter 15, Problem 21AAE

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Problem 21AAE

Theory and Examples

Suppose that f(x, y) can be written as a product f(x, y) = F(x)G(y) of a function of x and a function of y. Then the integral of ƒ over the rectangle  can be evaluated as a product as well, by the formula

a. Give reasons for steps (i) through (iv).

When it applies, Equation (1) can be a time-saver. Use it to evaluate the following integrals.

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