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(a) -6 (b) 6 (c) 3 (d) 5 (e) 8

I am currently studying partial fractions and I must use partial fractions to solve this problem. My book is Calculus, 8th edition, by Larson. The page my problem is on is 560, #56.

At first, I try calculating the range of the area of this graph by calculating the area of the circumscribed and inscribed rectangles, each of which had a width of 1. I got a range of ##\frac{1}{3}\leq Area\leq6##. Unfortunately, this still leaves me with possible values of 3, 5, and 6. Any help would be greatly appreciated. Thank you very much!