Use the trapezoidal rule and Simpson's rule with n= 4, 8, ..., 512 to find approx- imate values of the area under the curve of y= f(x) for the following functions f(x) on the given intervals: (a) f(x)=e-², 0≤x≤ 10 (b) f(x)= tan-¹ (1+x²), 0 ≤x≤2 (c) f(x)=√xe², 0≤x≤1

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