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The graph below consists of a non-quadratic part (#0 lex lt 2#) and a quadratic part (#2 le x le8#). The quadratic part is #y=x^2 – 3x + 5#, #2 lt x lt8#.
(a) Complete the table beside:
(b) Use the trapezoidal rule with six strips to estimate the area enclosed by the curve, X-axis and the line x=2 and x=8
(c) Find the exact area of the region given in (b).
(d) If the trapezoidal rule is used to estimate the
area under the curve between x=0 and x=2, state whether it would give an under estimate or an over-estimate. Give a reason for your answer.