Sir Mike Ambrose is the author of the question.
Notice;
The equation of the curve is;
y = (x²+32)/8
Area S will be;
Area under the curve at the points on the x axis, (16/5) and 8 - Area trapezoid with two parallel length sum (6+(12/5)) unit and height (8-(16/5)) unit.
= ⅓(160) - (5312/375) - (504/24)
= (160000-42496-63000)/3000
= 54504/3000
= 2376/125 square unit.
= 18.168 square unit.
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