Question: Assignment 1. Consider the function f(x) = x5 4x + 4x + 4 over the interval [-1,0]. a) Determine the right-hand Riemann sum. Will

Assignment 1. Consider the function f(x) = x5 4x + 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? fo(x5 3 d) Calculate so (x5 - 4x +4x+4) dx e) Calculate the error between the integral and the Riemann sums calculated in steps a-c. 2. Rewrite the given infinite sum as an integral, then use Desmos or your graphing calculator to evaluate the integral. Justify your answer. lim n n 3 2 () + + (-) - ) A (35) i=1 +4 n 3. Rewrite the given integral as an infinite sum, then use Desmos or your graphing calculator to evaluate the integral. Justify your answer. L*sin(x) dx

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