   Chapter 15, Problem 1RQ

Chapter
Section
Textbook Problem

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. ∫ − 1 2   ∫ 0 6 x 2   sin ( x   −   y )   d x   d y   =     ∫ 0 6   ∫ − 1 2 x 2   sin ( x   −   y )   d y   d x

To determine

Whether the statement, “ 1206x2sin(xy)dxdy=0612x2sin(xy)dydx ” is true or false.

Explanation

Theorem used: Fubini Theorem

If f is continuous on the rectangular region, R={(x,y)|axb,cyd} , then Rf(x,y)dA=abcdf(x,y)dydx=cdabf(x,y)dxdy

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