Hi, everybody. I'm currently working on a calc question, but I don't know if I have done it correctly. Can anyone please check it for me? Thanks.

Integral x*sqrt(x+1) dx

I used u-substitution.

u=x+1 du=1dx

x=u-1

(u-1)*u^(1/2)

u^(3/2)-u^(1/2)

u^(5/2)/(5/2)-u^(3/2)/(3/2)

2(x+1)^(5/2)/5 - 2(2+1)^(3/2)/3 (Final Answer)

Is this correct?

Thanks.