<p>Can someone show me how to do Lower and Upper Sums using the approximation method (not Riemann or limit definition) of the following equation:</p>
<p>Square root (x) when n=4</p>
<p>THANKS A BUNCH</p>
<p>Do you mean left hand and right hand reimann sums?</p>
<p>You gotta understand few things. Lower and Upper ARE Riemann sums. One is left, the other is right.</p>
<p>To figure which one is the upper and the lower, I always make four quick sketches. Two are of decreasing functions, and two of increasing functions. </p>
<p>Then, draw a few rectangles, some with the left edge on the graph, then some with the right edge on the graph.</p>
<p>That will give you an idea of when the Right hand is upper or lower, as well as for the left.</p>
<p>Using that, just use formula for them. Look it up online or in your book as it is prettier than anything I could type here. xD</p>