Assignment 1. Consider the function f (x) = x5 4x3 + 4x + 4 over the interval [1.0]. a) Determine the right-hand Riemann sum. Will this be an overestimate or an underestimate? b) Determine the left-hand Riemann sum. Will this be an overestimate or an underestimate? c) Determine the midpoint Riemann sum. Will this be an overestimate or an underestimate? d) Calculate f_01(x5 4x3 + 4x + 4) dx e) Calculate the error between the integral and the Riemann sums calculated in steps ac. 2. Rewrite the given infinite sum as an integral, then use Desmos or your graphing calculator to evaluate the integral. Justify your answer. 11 .lm (3 (3)1495) (1%) i=1 3. Rewrite the given integral as an infinite sum, then use Desmos or your graphing calculator to evaluate the integral. Justify your answer. TE 5 sin(x) dx 0