Woe is me and the partial fractions...
I tried working with just the fraction and got the same thing back that I put in, then I tried completing the square and subbing u=x+1 and got the same thing .
What the heck do I do with this thing?
Woe is me and the partial fractions...
I tried working with just the fraction and got the same thing back that I put in, then I tried completing the square and subbing u=x+1 and got the same thing .
What the heck do I do with this thing?
Let
So we get
Now we see that we can split it up and get
For , let , then we get
For , let , then we get
let
Thus,
Now, converting back to an equation in z, we see that the anti-derivative is
The anti-derivative (as a whole) is
Since , then we get
Now, since we *finally* see that
I (most likely) made a mistake somewhere in this calculation, but the answer is supposed to be
Try to make sense of what I did......
--Chris
I'd follow TwistedOne151's way of integrating , but the way I did it was follows:
I saw that if , then
That results in
Now,
So, we now get
Oh...I just noticed now that we could just make the substitution right here.
But to answer your question, I saw that , so then the integral became
As a side note, did anyone catch my little mistake? My answer simplifies to , but the answer is
I probably shouldn't be doing these problems when I'm dead tired
--Chris