00:01
So what they're asking you to do on this problem is the integral from 1486 to 1510.
00:10
If you haven't seen this notation before, that's okay.
00:13
You could just write down what i'm going to here in a little bit.
00:18
320 over root x minus 2.
00:24
And what they want you to do, put dx in there, is they want you to let n equal 6 because you want 6 rectangles.
00:36
And we're going to do the right and the left riemann sum.
00:40
So what i need to do is see my change in x for each problem.
00:43
And it's going to be your upper bound minus your lower bound.
00:51
And divide that by 2.
00:53
So if i do that, 1510 minus 1486, and divide by 2, i get 12.
01:01
So now what i need to do is make a table starting in its p prime of x, starting at 1486.
01:11
And i need to go up by 12s.
01:13
So 1486 plus 12 is 1498.
01:17
Oh, i divided by the wrong number.
01:29
Man, that was embarrassing.
01:31
You want to divide by 6.
01:40
I'm almost there.
01:41
Just fixing my mistakes.
01:43
So each width should have been 4.
01:46
So we're going to go from 1486 to 1490, 1494, 1498.
01:54
There it is.
01:55
I knew i was going to run out of space.
01:57
1502, 1506.
02:02
And then end at 1510.
02:05
So i'm starting and stopping at my end points.
02:09
So i'm going to type that equation into my calculator...