00:01
To anti -deride this expression, we're going to use integration by parts.
00:04
And we're going to use the 6x as the derivative because we want this eventually to derive down to 0.
00:11
So if that was this part, then it would be the derivative of that would be 6.
00:16
The derivative of 6 would be 0.
00:18
So that leaves us to anti -derive basically 1 over 3x would be the other expression.
00:27
Another way to say that is e to the negative 3x.
00:30
And we're going to keep integrating this down to that same term as well.
00:35
So integral of this, instead of the derivative would multiply by negative 3, this would divide by negative 3.
00:43
This would be negative 1 3rd, e for the negative 3x.
00:48
And then if we just do that one more time, divide by a factor of negative 3, that would bump it to a positive 1 9th, e2b, negative 3.
00:57
And then we multiply along the diagonal.
01:00
So these two terms are going to multiply with a positive factor...