but aren't upper and lower sums different than left and right endpoints
@jameswilkerson1225 жыл бұрын
No, if you are looking for the upper sum you want to use the endpoint that is going to allow the rectangle to go above the graph. Then the other endpoint will give you the lower sum.
@lucasargandona46584 жыл бұрын
What if the line is symmetrical? Is it neither an upper sum or lower sum?
@jameswilkerson63694 жыл бұрын
It is based on where you draw your rectangles. If you draw your rectangles below the graph, it's lower, and if you draw them above, it's upper.
@SujitKumar-zu4pw2 жыл бұрын
is total area along the curve the average of upper and lower sum???
@jameswilkerson1222 жыл бұрын
No. You will use integration to find the exact area.
@rakshyabastola34804 жыл бұрын
Does upper and lower sums differ from left and right endpoints??.please reply
@jameswilkerson63694 жыл бұрын
No, you simply use the endpoint that touches the graph when forming your rectangle. When the rectangles are above the graph it's upper sums, and when they are below it's lower sums.