1. Given f ′(x) = ex + (4/3)x^(-2/3) , find f (x) if f(1) = e.
2. Given f (x) = x2 + x +1
(a) Approximate the area between the curve of f and the x-axis on the interval [0,2] using 4 rectangles
and right point sums.
(b) Find the EXACT area between the curve of f and the x-axis on the interval [0,2] by using area as the
limit of a sum and summation formulas.
Integration and Sums of Rectangles are investigated.