00:01
We want to integrate this function, but we cannot do it directly.
00:05
So let's express it as a partial fraction first.
00:08
Take note that the denominator can be vectorized into x and x squared minus 1.
00:14
So the x square minus 1 can further be factored into x plus 1, x minus 1.
00:23
So the function would look like this.
00:27
So we can let it be a over x plus b over x plus 1, plus c over x minus 1.
00:35
Move the denominator up to the right side and simplify you will get this.
00:54
Now i'm going to let my x be 0.
00:59
So that will make this term and this term go to 0.
01:03
So left side i have minus 1.
01:04
When i'm supping my 0 into here...