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Exercise 4.4: Calculating integrals Suppose we want to calculate the value of the integral V1- 2 dx. The integrand looks like a semicircle of radius 1: -1 0 and hence the value of the integral-the area under the curve-must be 1.57079632679 . . . Alternatively, we can evaluate the integral on the computer by dividing the domain of in- tegration into a large number N of slices of width h - 2/N each and then using the Riemann definition of the integral