Question

Integration via U-sub:
Integral (sqrt(x)+1)^4/2sqrt(x)

Answer 1

\[\int\limits_{}^{}\frac{ (\sqrt{x}+1)^{4} }{ 2\sqrt{x} }\]

Answer 2

I'm a bit unsure of how to do this one. So far I have this:

u = x+1
du/sx =1 => du=1dx
Would I have to solve for x in u to get:
x=u-1
So would my integral with u sub look like this:
\[\int\limits_{}^{}\frac{ u^4 }{ u-1 }\]

Answer 3

u=sqrtx+1
du/dx =1/2sqrtx
du=dx/2sqrtx
int(udu) =u^2/2+C= (sqrtx+1)^2/2

Source: http://www.mathskey.com/question2answer/