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# Help me integrate this please :) watch

1. I'm not sure what method to use for this c4 integral:
(x+1)^2/(x^2)+1

Could you also tell me what method you're using and what type of integral you labelled this as? I've tried to multiply out the top part, recognition...but nothing seems to work

thanks!!
2. (Original post by alpha_4)
I'm not sure what method to use for this c4 integral:
(x+1)^2/(x^2)+1

Could you also tell me what method you're using and what type of integral you labelled this as? I've tried to multiply out the top part, recognition...but nothing seems to work

thanks!!
Note that and then recall that . This will leave you with two trivial integrals to deal with.
3. Try using long division first and see where that gets you

EDIT: Sorry, why was this negged? What I said achieves exactly the same as what Farhan said - divide the top bit by the bottom bit (hence long division), to get an expression that's much simpler to integrate. I was just trying to help
4. (Original post by Farhan.Hanif93)
Note that and then recall that . This will leave you with two trivial integrals to deal with.
thank you very much
5. (Original post by Farhan.Hanif93)
Note that and then recall that . This will leave you with two trivial integrals to deal with.
Sorry to bother you, but what would you do for this integral:
1/(x^2)(x-1)

thanks
6. (Original post by alpha_4)
Sorry to bother you, but what would you do for this integral:
1/(x^2)(x-1)

thanks
Use partial fractions.
7. (Original post by alpha_4)
Sorry to bother you, but what would you do for this integral:
1/(x^2)(x-1)

thanks
Partial fractions is probably a good idea.

Express in the form , and find the constants A, B and C.
8. (Original post by Farhan.Hanif93)
Partial fractions is probably a good idea.

Express in the form , and find the constants A, B and C.

Oh wait. same thing. Sorry
Oh wait. same thing. Sorry
Yep.
10. (Original post by Farhan.Hanif93)
Partial fractions is probably a good idea.

Express in the form , and find the constants A, B and C.
Thanks, I don't think those types of partial fractions are in the c4 syllabus but it seems like the most sensible option

Only one more, if you don't mind...

x^2/X^3 + 1
11. (Original post by alpha_4)
Thanks, I don't think those types of partial fractions are in the c4 syllabus but it seems like the most sensible option

Only one more, if you don't mind...

x^2/X^3 + 1
Is it (x^2)/(x^3+1) or (x^2)/(x^3) + 1
12. (Original post by alpha_4)
Thanks, I don't think those types of partial fractions are in the c4 syllabus but it seems like the most sensible option

Only one more, if you don't mind...

x^2/X^3 + 1
Note that . What do you know about integrals of that form. If that method doesn't work for you, use a substitution of
Is it (x^2)/(x^3+1) or (x^2)/(x^3) + 1
I'd assume that he meant the former as the latter is reasonably trivial.
Is it (x^2)/(x^3+1) or (x^2)/(x^3) + 1
(x^2)/(x^3) + 1
the latter, sorry!
14. (Original post by Farhan.Hanif93)
Note that . What do you know about integrals of that form. If that method doesn't work for you, use a substitution of

I'd assume that he meant the former as the latter is reasonably trivial.
Didn't you just integrate the former?
15. (Original post by alpha_4)
(x^2)/(x^3) + 1
the latter, sorry!
Omg dude. Then you'll be integrating

16. (Original post by alpha_4)
(x^2)/(x^3) + 1
the latter, sorry!
You need to be using LaTeX to make sure your posts are clear. If you can't do that integral, you need to reopen your textbook and learn about integrals that lead to logs properly. Then come back and ask for help if you're stuck.
17. (Original post by Farhan.Hanif93)
You need to be using LaTeX to make sure your posts are clear. If you can't do that integral, you need to reopen your textbook and learn about integrals that lead to logs properly. Then come back and ask for help if you're stuck.
LOL! + rep to you

Haha, you wrote so much for the other case, and he just wanted a simple integral
LOL! + rep to you

Haha, you wrote so much for the other case, and he just wanted a simple integral
It's not so much that, it's just that I'm trying to help someone with a more difficult problem in the topic when he doesn't seem to understand the basics of it.
19. LOOL, the difference latex would've made in this case is immense!

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