Question

Questions 1 - 4: Consider the function ?(?) = −?^3 + 1 over the interval [-1,3].

A. Draw the corresponding picture for the question asked.

B. Show all work / formulas / steps

C. Answer the question asked, box your final answer.

1. Approximate the area under the curve using left endpoints with 4 rectangles.

2. Approximate the area under the curve using midpoints with 4 rectangles

3. Find the upper sum with respect to the partition ? = {−1, − 1/2 , 0,3}

4. Find the lower sum with respect to the partition ? = {−1, − 1/2 , 0,3}.

Answer 1