1 Problem 3. Consider the curves f (cc) 2 8 351:2 and g(x) = ln(:r;) (a) Approximate the area under f (at) over the interval [1, 4] using 71 = 3 rectangles and either a right or left-hand sum. (b) Approximate the area under g(:c) over the interval [1, 4] using n = 3 rectangles and either a right or left-hand sum. (0) Subtract the result in (b) from the result in (a) to obtain an approximation for the area between the functions over [1, 4]. (d) Use Wolfram Alpha to calculate the exact area between the functions over [1, 4]