anonymous 5 years ago integral of 625x^3(e^5x), use integration by parts

1. anonymous

i know how to start it off, i just keep getting the wrong anser tho

2. anonymous

long integration involves, select 625x^3 as a first function

3. anonymous

what did u get?

4. anonymous

i got \[e^5x(125x^3-75x^2-30x-6)+C\]

5. anonymous

e^(5x)*

6. anonymous

when u select 625x^3 as a first function, u write the derivative of it,right?

7. anonymous

power must be reduced

8. anonymous

i followed an example in the book, and it used x^3 as the u value, and 625e^5x as va

9. anonymous

v

10. anonymous

u mean the reduction formula

11. anonymous

use 5x = t t^3 (e^t)dt

12. anonymous

then use integral by parts

13. anonymous

what reduction formula did u use?

14. anonymous

him is right

15. anonymous

m e?

16. anonymous

ok i got the write answer now,lol sorry nvrmind, but thanks guys :)

17. anonymous

things got easy now

18. anonymous

no him it wasnt you :)

19. anonymous

ok amk....

20. anonymous

21. anonymous

so him...u feeling fresh now? :)

22. anonymous

thnx fr asking...yeah better now..nthn a coke wont heal

23. anonymous

medal for ur determination :)

24. anonymous

u must feel much better now:P

25. anonymous

yeah thnx

26. anonymous

:)

27. myininaya

well i just did all of this work without reading any of that above stuff so here you go lol

28. anonymous

myin: the anser was actually (125x^3-75x^2+30x-6)e^5x +C, u were right with the first two numbers, but thanku so much for taking the time to work it out :)