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(a) Complete the table below for the function `y=x^2-3x+6` in the range `2le x le8`

(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.