Consider the function f(x) = −(x − 1)² + 7 for 1 ≤ x ≤ 4. Homework Help ✎

1. Write the sum to find the area under the curve using left-hand endpoints and rectangles with widths of 1. Since you are not using a calculator, be sure you set up your sum to include all of the factors. You do not need to actually calculate the sum.

2. Write the sum using sigma notation.