## anonymous 3 years ago help me to integrate

1. anonymous

|dw:1354504731249:dw|

2. anonymous

We will see.

3. anonymous

please someone help me with my problem!!!

4. anonymous

i would start with $\frac{x+2}{x^2+2x+5}+\frac{1}{x^2+2x+5}$ because the first one gives way to a simple $$u$$ sub the second one is a pain though

5. anonymous

$\int\limits_{a}^{b} (x+3) * (x^2 + 2x +5)^-1 dx$

6. anonymous

|dw:1354504176605:dw|

7. anonymous

i guess not that much of a pain complete the square, solution above

8. anonymous

|dw:1354505437528:dw| u = x+1 ; a= 2 ?

9. anonymous

the first one, let u be the denominator, then du will be x+2dx, so this is regular integrate(1/u)du

10. anonymous

i would make the first numerator x+1, the second numerator is 2

11. anonymous

okay ..

12. anonymous

from the top pls.?

13. anonymous

|dw:1354505864451:dw| ?

14. anonymous

|dw:1354504775593:dw|

15. anonymous

and the other one just like above but multiplied by 2 :D

16. anonymous

for the second one? |dw:1354506253527:dw| kinda impossibele @hieuvo

17. anonymous

|dw:1354505287482:dw|

18. anonymous

its unclear to me :(

19. anonymous

|dw:1354505588414:dw|

20. anonymous

is that what you're confused ?

21. anonymous

okay i get it now thanks! :)

22. anonymous

you're welcome