3. Let Q := [0,1] x [0,1]' A := {(x, y) E Q : y ::; x},...

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3. Let Q := [0,1] x [0,1]' A := {(x, y) E Q : y ::; x}, B := {(x, y) E Q : y 2: x}, and let f be integrable on Q (hence, on A-see Exercise 4a) with JJA fdA = 4.

(a) If JJQ fdA = 3, find JJB fdA, and compute the value of JJB(2f + 5) dA.

(b) If f 2: a on A and E:= {(x,y) E Q: y::; if:t4}, prove that

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