### Home > APCALC > Chapter 4 > Lesson 4.1.1 > Problem4-11

4-11.

Write a Riemann sum that approximates the area under the curve for $2 ≤ x ≤ 5$ using $n$ rectangles given $f\left(x\right) = 3x + 5$. Then approximate the area using at least four different values of $n$. For what value of $n$ is your approximation most accurate and why?

General form of left-endpoint Riemann sum:

$\displaystyle\sum_{i=0}^{n-1}\Delta xf(a+\Delta xi)$