00:01
So they tell us that this equation here will tell us the temperature of a still bar at a particular position along it.
00:10
And what we want to do is figure out what is the average temperature on the bar here.
00:15
So what we can do is just plug all of the information in that we're given into the average value formula.
00:22
And so the only thing we really still need to figure out is what is our a and or b.
00:25
And they tell us that it's going to be 0 to 3.
00:29
So we just need to plug all these in.
00:31
So it's going to be 1 over 3, 0 minus 3.
00:34
We integrate this from 0 to 3.
00:38
And we're plugging in our function.
00:40
We want to find the average value for.
00:42
So it would be 40 sine of pi x over 3 plus 50 dx.
00:52
Now we would end up with one third out here.
00:56
And now we can integrate each of those functions.
00:59
So it's going to be 40.
01:02
So if we integrate sine, we should get negative cosine...