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 Form 4 Mathematics area and approximation: Integration questions and answers

The curve of the equation #y=2x + 3x^2#, has #x=-2/3# and x=0 as x-intercepts. The area bounded by the curve, x-axis, #x=-2/3# and x=2 is shown by the sketch below.
curve18520201039.png
Find: (a) #int (2x+3x^2)dx#.
(b) The area bounded by the curve, x-axis, #x=-2/3# and x=2.

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