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 Form 4 Mathematics area and approximation: Integration questions and answers

(a) Complete the table below for the function #y=x^2-3x+6# in the range #2le x le8#
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(b) Use the trapezium rule with 10 strips to estimate the area bounded by the curve, #y=x^2-3x+6#, the lines x=-2, x=8, and the x-axis.
(c) Use the mid-ordinate rule with 5 strips to estimate the area bounded by the curve, #y=x^2-3x+6#, the lines x=-2, x=8, and the x-axis.
(d) By integration, determine the actual area bounded by the curve #y=x^2-3x+6#, the lines x=-2, x=8, and the x-axis.

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