AREAS BETWEEN CURVES
AREAS BETWEEN CURVES.
Find the area between each pair of graphs.
Use your Graphics calculator to help draw the graphs and find the intersection points.
However it is good practice to find the intersections by algebra.
You must show any antiderivatives and all logical steps in your working.
1. y = 4 – x2 and y = x2 – 2x + 4
2. y = 9 – x2 and y = x2 + 1
3. y = 4x2 and y = (x – 3)2
4. y = x2 – 6x + 8 and y = 4x – x2
5. y = 2x2 – 6x and y = – (x – 3)2
6. y = x(x – 2)(x – 4) and y = x(x – 4)
7. Find the area enclosed between the curve y = 2x2(3 – x) and the line y = 4x.
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