CPM Homework Help : PC3 Problem 11-44

Approximate the area under the curve $f(x) = \frac { 1 } { 2 }x^2 + 8\sqrt { x } - 8$ over the interval $1 ≤ x ≤ 5$ using $12$ right endpoint rectangles.

Hint:

The width of each rectangle is 4/12.

Write an expression for the $x$ -values of all of the endpoints: $1, 1.33..., 1.66..., 2$ , etc.

More Help:

Since these are right endpoint rectangles, start with $n = 1$ .