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The figure below is a sketch of a curve whose equation is #y=x^2 + x + 5#. It cuts the line y=11 at points P and Q.
(a) Find the area bounded by the curve #y=x^2 + x + 5# and the line y=11 using the trapezium rule with 5 strips.
(b) Calculate the difference in the area if the mid-ordinate rule with 5 ordinates was used instead of the trapezium rule.