7. Evaluate the integral or show that it is divergent. 2 mix a) "[0 2353 b) [041%dx

4. Consider the function f (x) = ee on [1, 1]. 1 eex dx. a) Use Simpson's Rule with n = 6 to approximate f 1 b) Given f (4) (x) = eeX(ex + + + (eX)4), estimate the error incurred in the approximation in a). c) Determine the number of subintervals needed to ensure that the Simpson's Rule 1 approximation to f ee dx is accurate to within 0.001. -1