anonymous 5 years ago A simple integration prob

1. anonymous

$\int\limits_{}^{}(5x ^{3}+9x-4)/(x(x-1)(x ^{2}+4))$

2. anonymous

:)

3. anonymous

oh forgot a dx at the very end

4. anonymous

I am SO sorry

5. anonymous

lol it's alright I got what you mean, writing it on paper now :)

6. anonymous

I am so jealous of you guys who understand calculus :(

7. anonymous

$-13\ln|(x+2)|/3+10\ln|x-1|/3+\ln|x|+c$

8. anonymous

but you can understand calculus if you want to ^_^ all you have to do is learn it and practice to add up the skills

9. anonymous

The whole thing inf front of the slash is divided

10. anonymous

11. anonymous

and andy , you can do well in mathematics just as you do well with computers ^_^, you're smart

12. anonymous

Yes, checked it digitally ^.^

13. anonymous

do you know the steps? ^_^

14. anonymous

oh! got it! partial fractions! ^_^

15. anonymous

Sorry I copied the integral from this webpage, before I solved it, so my answer was wrong, because x^3 was then x*3. The correct answer is: \ln(x^2+4)+2\ln(abs(x-1))+3arcTan(x/2)/2+\ln(abs(x))+c

16. anonymous

i guess i am just lazy to learn it... but then sooner or later i will have to learn it in university

17. anonymous

If you want to see the solution, just visit WolframAlpha.com and plug in integrate (the expression), so I don't have to write it here with this terrible equation editor...

18. anonymous

And maybe my solution here would get full of errors anyway ;_)

19. anonymous

oh no, my answer vanished :(

20. anonymous

and I got in the end: ln|x| + 2 ln|x -1| + 3/2 S (3/2x+1)/(x^2+4)dx you'll have to integrate the last part once more then add it up with the others .

21. anonymous

^_^