MathematicsMediumHigh School (11–12)Functions and Calculus › Application of IntegralsA-LevelAEEE (Amrita)AMUEEEAPAP EAPCETBCECECOMEDK UGETCUET UGGUJCETIBJCECEJKCETKCETKEAMKIITEELPUNESTMET (Manipal)MHT-CETOJEESRMJEEETS EAPCETUPESEATVITEEE
Created by StemPy LabA student plots the curve and wants the exact area under it from to , with the -axis below. Lengths are in centimetres. What is the area, in square centimetres?
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← A cycle path in a nature reserve has the profile y = (x - 1)(x - 2)(x - 3) for 1 ≤ x ≤ 3, with x in kilometres and y in kilometres, as in the figure. The path crosses a reference line y = 0 at three points. The reserve wants the total area between the profile and the reference line. What is this area, in square kilometres?Two curves meet at x = 1 and at x = 4. Between these two values the curve y = p(x) lies above the curve y = q(x). Which integral gives the area of the region enclosed between the two curves? →
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