U substitution indefinite integral

I have been trying to solve the indefinite integral (x-3)*sqrt(x-1) dx. I have tried u substitution by using u=(x-1)^1/2 or using u=x-3. There has to be a trick to this problem that I'm not seeing and it's driving me nuts! (Angry) This is a u substitution problem right? Any help is greatly appreciated!

Re: U substitution indefinite integral

Re: U substitution indefinite integral

Hello, Chewy!

If the expression under the radical is *linear*,

. . we can let = the entire radical.

Let

Substitute: .

. . . . . . . . . .

Back-substitute: .

. . . . . . . . . . .