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 Form 4 Maths area and approximation: Mid-Ordinate Rule questions and answers

The table below shows some values of the function #y=x^2 + 2x-3#
Q318520201144.png
(a) Complete the table.
(b) Using the completed table and the mid-ordinate rule with six ordinates, estimate the area of the region bounded by the curve #y=x^2 + 2x – 3# and the lines y=0, x=-6 and x=-3.
(c) (i) By integration, find the actual area of the region in (b) above.
(ii) Calculate the percentage error arising from the estimate in (b) above.

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