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

- anonymous

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

- katieb

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- anonymous

hey, how's it going?

- anonymous

?

- 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.

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## More answers

- anonymous

subtle brag about girlfriend?

- anonymous

no just truth...

- anonymous

I'm not that shallow.

- anonymous

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

- 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

- anonymous

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

- 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

- anonymous

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

- anonymous

have you tried that?

- anonymous

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

- anonymous

Yeah but I am sadly failing at my algebra

- anonymous

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

- anonymous

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

- anonymous

you still there?

- anonymous

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

- anonymous

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

- anonymous

...

- anonymous

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

- anonymous

got how far

- anonymous

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

- anonymous

yes, sounds right, so what did you get as your answer?

- anonymous

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

- anonymous

can you keep going?

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

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

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