(10 marks) Consider the function f(x) = x2 + x + 1. a) (2 marks) Approximate the area under y = f(x) on [0, 5] using a right Riemann sum with n uniform sub- intervals. b) (3 marks) Simplify the Riemann sum in part (a) so that the resulting expression involves no 2 or notation. Hint: For one part of the sum, you might need the formula 2:1 1'2 = W . Is there a similar formula for the other part? c) (2 marks) Take the limit as n tends to infinity in your result to part (b). d) (3 marks) Compute A5 f(x) dx and compare it to your result in part (c)