Check my work and help with the rest? Riemann Sums.

Question

thecalchater · Answer

@dan815  @IrishBoy123 @zepdrix  @StudyGurl14

studygurl14 · Answer

I suck at Riemann Sums, sorry

mathmale · Answer

Seems as tho' you know your Riemann Sums well.  Think:  What is the area under the curve y=x between x=0 and x=1?  Compare this with your Riemann Sum calculation.

thecalchater · Answer

it is .5 if we graph it we can use geometry to solve it..... ( I am ok with them phi was helping me before)

thecalchater · Answer

@phi  this is what I have so far thanks to your help now for the last part did we get a definite integral so that I can use the graph from the previous?

phi · Answer

For the last part, divide the triangle into say 5 sections
and draw in rectangles.

thecalchater · Answer

ok give me a second

thecalchater · Answer

|dw:1453506170973:dw|

phi · Answer

almost.  make the "right side" be the "top", and draw a horizontal "top"
the rectangles will be a bit too large.
For example, here is the last rectangle
|dw:1453506286985:dw|