Thread: figuring out a rule..

∫1/(x^(3/2)) = -2/sqrt(x) ???

im trying to figure out the rule here. its poping up a few times. these 2 questions especially:

Wolfram|Alpha

(click on "show steps" and look at step 3)

or here

Wolfram|Alpha

(sort of the same question really).

whats going on there? can someone show the working out to me for how we end up with the answer?

Originally Posted by Prodigga

∫1/(x^(3/2)) = -2/sqrt(x) ???

[snip]

You're expected to know the rule where . In the above integral .

(You are also expected to be fluent enough with basic index laws to know that ).