CPM Homework Help : PC Problem 4-58

Write a sum that will find the area under the curve $f(x) =\text{sin}(x)$ on the interval $[0, \pi]$ using ten left endpoint rectangles.

The width for each rectangle:

$\frac{\text{interval length}}{\text{rectangles}} \ \ \ \frac{\pi}{10}$

The sigma notation setup:

$\frac{\pi}{10}\displaystyle\sum\limits_{k=0}^9$

The height function:

$\text{sin}(\ \ \ \ \ \ )$

$\text{sin}\left(\frac{\pi}{10}\textit{k}\right)$

input function moving <i>x</i> along the left side of each rectangle: