00:01
So i want to use upper and lower sums to approximate the area.
00:08
My curve is y equals the square root of 7x.
00:12
I'm just going to rewrite that as f of x.
00:17
And i want to use 1, 2, 3, 4 subintervals of equal width.
00:29
So 1 divided by 4 means that my subintervals will be 0 .25.
00:36
Now, i want to first use a lower sum.
00:49
So my lower sum is going to be...
00:51
I'm sorry, i want to find upper sum first.
00:57
So the upper sum is going to use the left endpoints for the heights.
01:05
And then the lower sum is going to use the right endpoints.
01:24
Okay, so i'm just going to put this in my calculator.
01:31
If i plug in 0, i get out 0.
01:39
0 .25 gives me 1 .3229.
01:44
0 .5 gives me 1 .8708.
01:52
0 .75, i have 2 .2913...