[MUSIC]. 
Welcome back to Calculus One. 
And welcome back to Week 14 of our time 
together. 
This is the panultimate week. 
Next week is Week 15 and that's it, 
right, there's 15 weeks in this course 
altogether. 
Now at this point, we've got the 
fundamental theorem of Calculus which 
produces integration to 
antidifferentiation. 
And last week, we looked at 
U-substitution. 
U-substitution was a technique that made 
it possible for us to figure out how to 
use the Chain Rule in reverse to do a ton 
more antidifferentiation problems. 
This week, in Week 14, we continue 
techniques of integration. 
In particular, we're going to look at 
integration by parts which is really the 
product rule in reverse. 
Just like U-substitution is the Chain 
Rule in reverse, parts is just the 
Product Rule in reverse. 
And the Product Rule came up fairly 
frequently so knowing how to reverse it 
is going to let us do a ton more 
integration problems. 
Next week, in Week 15, we're going to 
look at some more applications of 
integration, really focusing on volume 
calculations, which I think are a lot of 
fun because it will give us a chance to 
think 3-dimensionally. 
And then, we've got the final exam and 
that's it. 
So, hang in there, we've just got one 
more week after this and then it's the 
end of the course. 
We're going to make it.