Evaluate:

Intergral of X Times squareroot 5X+1 DX

(see attached pic of problem)

So I used substitution,

U= 5X+1

Du= 5Dx

Dx= 1/5Du

Next I found Intergral UDU

U^1/2 Times 1/5DU =

2/3U^3/2 Times 1/5DU

my final answer:

2/15U^3/2 + C

Simplified to:

2/15(5x+1)^3/2 + C

Is that correct?