Signed integrals and total axis areas

Signed integrals and total axis areas

5 marks
TGM Original
Find the total area between y=x (x - 3), the x-axis, and x=0, x=2. The shaded sketch identifies the region; justify any splits and verify the relevant intersections. Also state the signed integral over this interval.

Solution:

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Answer:\(A=\frac{10}{3}\text{ units}^2,\quad I=- \frac{10}{3}\)

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