Question

help please number 39

http://prntscr.com/blbk7v

Answer 1

@jhonyy9

Answer 2

What's inside the radical ?

Answer 3

Sub u = x-1

Answer 4

You may also try

x-1 = u^2

Answer 5

x becomes (x+1), \[\sqrt{x-1}\] becomes \[\sqrt{u}\]

Answer 6

Sub y = \[\sqrt{u}\]

Answer 7

dy = \[1/2\sqrt{u}\]
2dy = \[1/\sqrt{u}\]

Answer 8

You have \[2\int\limits_{}^{}dy/(y ^{2}+1)\]
The rest is standard integration.

Answer 9

oh okay :) got it :D