Answer
Graphs of
$f(x)=sinx [-\pi,\pi]$
with $Rienmann -sum$
Work Step by Step
-Graphing each function ƒ(x) over the given interval.
-Partitioning the interval into four subintervals of equal length.
Then adding to sketch the rectangles associated with the $Riemann -sum$
$\Sigma^4_{k=1}$=1ƒ($c_k$)$ Δx_k $, given that $c_k$ is the
(a) left-hand endpoint,
(b) righthand endpoint,
(c) midpoint of the kth subinterval.
(Making a separate sketch for each set of rectangles.)
of
$f(x)=sinx [-\pi,\pi]$
