Question

Can someone help me in u substitution i forgot how to do that.

Answer 1

Yes

Answer 2

Post a problem

Answer 3

What's the problem?

Answer 4

If the substitution \[u=\sqrt{x-1}\] is made, the integral \[\int\limits_{2}^{5} \sqrt{x-1}\div x dx=\]

Answer 5

u=\[\sqrt{x-1}\]

Answer 6

so du= \[1\div(2(\sqrt{x-1})\]

Answer 7

try it from there

Answer 8

ok i've got that so far

Answer 9

i need to find x too right?

Answer 10

no because u is equal to that part of the denominator

Answer 11

so you have,
2\[2\int\limits_{}^{}u^2/(u^2+1)\]

Answer 12

ok i don't get how you got that.

Answer 13

http://www.wolframalpha.com/input/?i=integrat%3A+%28%28x-1%29^%281%2F2%29%29%2Fx

Answer 14

go there but don't forget the domain of integration

Answer 15

thanks