00:01
We want to evaluate this integral here.
00:05
Now, i have absolutely no idea what to do with this x -rays to the 2x thing.
00:13
So maybe we need to rewrite this in a way that we can deal with it.
00:19
So something they tell us in this chapter is that if we take the natural log of this and then expeditiate, this here will.
00:33
Or not the e there, but exponentiate it, so like raise it to the power of it.
00:39
We can pull that power out front and we have e to the 2x, natural log of x.
00:45
Well, now let's take the derivative of this expression here.
00:55
So what this is saying is we would have first e to the 2x, natural log of x, because that's the derivative e to the x.
01:08
But then we take the derivative of our inside.
01:13
So actually, let me do it up here.
01:15
This.
01:16
So that's going to be product rule.
01:22
So we would have derivative of the first, which is just going to be to natural log of x.
01:30
Actually, let's factor that two out.
01:35
Actually, we'll do it after all this.
01:36
So then plus, then the derivative of natural log of x.
01:39
Log of x is 1 over x so that that would just leave us with 2...