Question

Given f(x)=2x^2+2. What is the exact area under the curve between x=2 and x=5 using 3 rectangles with right hand endpoints? Show work with sigma notation.

Answer 1

three rectangles means each has length 1, so it can't be too bad

Answer 2

right hand endpoints are 3, 4, 5 and since the base of each rectangle is 1, your only real job is to compute \[f(3)+f(4)+f(5)\]