1. Draw a sketch of the graph of the function y = 4 − x2. Find the area enclosed by the curve y = 4 − x2 and the x-axis.

2. Draw a sketch of the function y = (x − 3)(x + 4) and find the area enclosed by curve and the x-axis.

3. Find the area enclosed by the graph of the function y = (x − 4)2 , the y-axis and the x-axis.

4. Find the area enclosed by the curve y = x2 − 2x − 24, the x-axis and the lines x = 7 and x = 10.

5. Find the area enclosed by the curve , the x-axis and the lines x = 1 and x = 3.

6. Sketch the graph of y = (x − 2)(x + 3)(x -1) = x3 − 7x + 6. Find the area enclosed by the curve and the x-axis.

For questions 7 − 12 find the shaded areas.

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