How to integrate 1/(3-x)^(1/2)

Question

hartnn · Answer

@Kuroten87  Hi ,
$\Huge \mathcal{\text{Welcome To OpenStudy}\ddot\smile} $

Did you try substitution u= 3-x ?

anonymous · Answer

I actually tried subbing the square root of 3-x and finding x, then subbing that

anonymous · Answer

So x would equal 3-u^2 and dx = -2udu

hartnn · Answer

ok, now try, u= 3-x
(instead of sqrt (3-x))

anonymous · Answer

Now I have negative integral of 1/(u^1/2)du

hartnn · Answer

thats quite simple right ?
can you do it ?

anonymous · Answer

Maybe if I stare at it long enough. Thanks:)

hartnn · Answer

lol......let me give you a hint :
$\large \dfrac{1}{x^n}=x^{-n}$
and you have standard integration formula for x^n dx

hartnn · Answer

and welcome ^_^

anonymous · Answer

Lol oh yeah... Basic stuff. My bad.

hartnn · Answer

no problem :)

hartnn · Answer

oh, and since you are new here, if you have any doubts browsing this site, you can ask me, or to an ambassador (with an encircled A before their name).
Have fun learning with Open Study! :)

anonymous · Answer

Cool! Thanks again!