Hey everyone I need some help with this problem that I have. I know that I put partial fractions into the title but I am unsure if that is truly what I need in order to complete this question. All my instructions says is:
Solve the following integral
This is it:
This is my method to solve:
I multiplied both sides by the denominator of the left side:
I factor in the A and B:
but this is where I am stuck at.. I mean the square root is where I am stuck at because the right and left sides aren't like terms right? Could definitely use some help with this one.
Thanks in advance
I tried again and used u substitution this is my new process but I still think it is wrong:
Then I subbed into my equation to get:
Then I proceeded with the partial fractions:
Multiplied both sides by the denom:
but when I solve this I get:
which really doesn't really make sense to me.. I will try it your way to see how I fair but I just wanted to update you guys with my work and progress
Hey everyone sorry for the long reply I had a death in my family but I am still trying to get this one done... I did what post #6 did, but when I showed my professor he said that it was wrong because it is the same degree on the top and bottom when you factor out the denominator
So he informed me to do long division which I did and I got this:
then this turned into:
which I factored to this:
I think I did something wrong because then wouldn't I have this long partial fractions with 6 different coefficients? Like:
It just doesn't really make sense to me.. thanks in advance guys
Your professor is correct, you need to do long division first. The denominator needs to have a higher degree than the numerator for the partial fractions expansion to work. So you need to do:
Now the denominator has higher degree than the numerator so you can do the partial fraction expansion:
- Hollywood