Question

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

Answer 1

hey, how's it going?

Answer 2

?

Answer 3

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.

Answer 4

subtle brag about girlfriend?

Answer 5

no just truth...

Answer 6

I'm not that shallow.

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

have you tried that?

Answer 13

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

Answer 14

Yeah but I am sadly failing at my algebra

Answer 15

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

Answer 16

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

Answer 17

you still there?

Answer 18

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

Answer 19

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

Answer 20

...

Answer 21

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

Answer 22

got how far

Answer 23

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

Answer 24

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

Answer 25

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

Answer 26

can you keep going?

Answer 27

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

Answer 28

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

Answer 29

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

Answer 30

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