### Home > CALC > Chapter 4 > Lesson 4.1.1 > Problem4-9

4-9.

Write a Riemann sum that finds $A(f, −8 ≤ x ≤ 8)$ for $f(x) = 2x^{1/3} + 1$, using the number of rectangles given below. Then evaluate with the summation feature of your calculator.

1. $16$ rectangles

Let's use right endpoint rectangles:

1. $64$ rectangles

Let's use midpoint rectangles:
$\displaystyle \sum_{i=1}^{n-1}\Delta xf\left(a+\frac{\Delta x}{2}i\right)$