Integrate In anyway possible.

Hi everyone! Today we are asked in class to solve an integral in anyway that we know. The given integral is . She hints that it is possible to solve it using integration by parts, and I see that I might have to use tablature method to find the integral since I have to reduce to zero power. But I said, screw it! So I attempted to do it by doing somewhat partial fraction. So here's what I did:

1)I did a long division so that:

2)Turns out I don't have to solve for a partial fraction so:

3)So that if we integrate it, it becomes:

Is that solution good enough? Not really sure about it. Anyone got any ideas to evaluate the integral more efficiently? Thanks a lot in advance!:D

Re: Integrate In anyway possible.

Quote:

Originally Posted by

**EliteAndoy** Hi everyone! Today we are asked in class to solve an integral in anyway that we know. The given integral is

. She hints that it is possible to solve it using integration by parts, and I see that I might have to use tablature method to find the integral since I have to reduce

to zero power. But I said, screw it! So I attempted to do it by doing somewhat partial fraction. So here's what I did:

1)I did a long division so that:

2)Turns out I don't have to solve for a partial fraction so:

3)So that if we integrate it, it becomes:

Is that solution good enough? Not really sure about it. Anyone got any ideas to evaluate the integral more efficiently? Thanks a lot in advance!:D

Let and the integral becomes

Re: Integrate In anyway possible.

That also works, but still I'm not certain if my solution is correct. What do you think? :D

Re: Integrate In anyway possible.

yes your solution is correct

the best way to solve it is the one discribed by prove it.

I suggest you study more the integration ...

MINOAS

Re: Integrate In anyway possible.

In such cases i have found that partial fraction approach is always better.

Re: Integrate In anyway possible.