$\displaystyle

x^\frac{1}{2}(2x^\frac{1}{2}+3x^\frac{3}{2})

$

How would this multiply out so it can be differentiated?

also

Iv found the two factors are x+1 and x-4 but does this mean the limit is x+1 and x-4 or x-1 and x+4?Code:`Find the line enclosed between the curve $\displaystyle y=4-x^2$ and the line $\displaystyle y=3x$`

Thanks in advance ;)

edit : unfortunetly i have another tiny small problem :D

$\displaystyle \frac {1}{9x^2+6x+2}$

How would i simplify this?