EXAMPLE 4 Evaluate the following integrals by interpreting each in terms of areas. (a) dx (b) 2) dx SOLUTION (a) Since f(x) = V9 - x->0, we can interpret this integral as the area under the curve y= V9- x² from 0 to But since y= we get x + y = 9, which shows th the graph of fis a quarter-circle with radius in the top figure. Therefore, -x² dx = r(3)² = %3D

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