## anonymous 5 years ago If u is t+1 and du is 1dt then what is the integral (u-1)u*u^(-1/2)?

1. anonymous

hey, how's it going?

2. anonymous

?

3. anonymous

Having issues with integral calculus and am way behind. I have to get caught up soon since the final is in two weeks. Basically I will probably be up until my girlfriend tells me to come to bed.

4. anonymous

5. anonymous

no just truth...

6. anonymous

I'm not that shallow.

7. anonymous

haha, just kidding, do you mean the integral of ((u-1)(u)(u^(-1/2)))?

8. anonymous

yeah its via u-substitution. The original was kinda vague about where to start but I finally got past that with help from somebody here. dwobinkle or something like that

9. anonymous

so do you understand the part that has been done so far, or do you want to go over that?

10. anonymous

well if you like I can show you the original problem. I do get what has already been done because it was just the concept of trying factoring before anything else

11. anonymous

well from this point, you can simplify what you have by multiplying it out

12. anonymous

have you tried that?

13. anonymous

you can show me the original problem if you want just to make sure that the part you are showing me is correct

14. anonymous

Yeah but I am sadly failing at my algebra

15. anonymous

u(u-1) = u^2 - u

16. anonymous

so then you have (u^2 - u)(u^(-1/2))

17. anonymous

you still there?

18. anonymous

yeah just brushed my teeth...computer being weird online

19. anonymous

so do you follow so far? can you take it from here?

20. anonymous

...

21. anonymous

I got that far but I'm not quite sure...is it just regular power integrations now?

22. anonymous

got how far

23. anonymous

well the u^-1/2 should be multiplied into the parenthetical shouldn't it? Then we can just integrate?

24. anonymous

25. anonymous

well that part leads to the integral of ((u^2/u^(1/2))-(u/u^(1/2))

26. anonymous

can you keep going?

27. anonymous

would the first term come out something like (2u^3/3u^1/2)?

28. anonymous

are you trying to integrate it straight from the last thing you typed?

29. anonymous

try using google chrome, that seems to be working better for me on this site

30. anonymous

Okay will do...Gonna go to bed thanks for the help.