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Area bounded by a Curve

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Area bounded by curve and line (example) - OCR C3 June 2013 Q9(ii)
The diagram shows the curve
y = e2x - 18x + 15
The curve crosses the y-axis at P and the minimum point is Q. The shaded region is bounded by the curve and the line PQ.
Find the exact area of the shaded area.
A-Level Maths Edexcel C2 January 2007 Q7
Worked solution to the above Core 2 question on area under a graph using integration.
Figure 1 shows a sketch of part of the curve C with equation
y = x(x - 1)(x - 5).
Use calculus to find the total area of the finite region, shown shaded in Figure 1, that is between x = 0 and x = 2 and is bounded by C, the x-axis and the line x = 2.

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