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Floors and decimals integral II (Posted on 20110721) 

Each of m and n is a positive integer with m < n. Evaluate this double definite integral in
terms of m and n.
∫ ∫ [x+y]*{x+y}*(x+y) dx dy for x = 1 to m and, y = 1 to n
*** [x] denotes the smallest integer ≤ x, and {x} is the decimal part of x, ie {x}=x[x].
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