Evaluate the integral 3 2x cos(xy)dydx 2

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A: I am attaching image so that you understand each and every step.

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A: The left side is: C∩C-B∩C∪A∩B-B∩C-A We first simplify inner parts:  C-B∩C A∩B-B∩C

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A: As per bartleby guidelines we only give first question answers.

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A: Sec²(t)-tan²(t)=1 Sin²(t)+cos²(t)=1 Sin(2t)= 2sin(t)cos(t) 2sin²(t)= 1-cos(2t)

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