Sir Mike Ambrose is the author of the question.
The equation of the curve is;
y = (8/(x-3)) + 2
Area blue is;
Area trapezoid with two parallel side 5 units and 6 units, and height 2 units - Area triangle with height 6 units and base 2 units + Area under the curve at coordinates (5, 0) and (8, 0) - Area triangle with height 6 units and base 3 units.
= ½(6+5)*2 - ½(6*2) + (8(In5 - In2)+6) - ½(6*3)
= 11 - 6 + 8(In5-In2) + 6 - 9
= 2+8(In5-In2) square units.
= 9.33032585499 square units.
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