Don't forget the constant of integration! That's especially important in differential equations, where it allows you to solve initial value problems and boundary value problems. Otherwise, everything looks great.
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.