Math Help - Integrate sqrt(t)

1. Integrate sqrt(t)

$\int \sqrt t dt$
do I apply the constant rule here?

2. Originally Posted by Minino777
$\int \sqrt t dt$
do I apply the constant rule here?
Write $\sqrt{t} = t^{\tfrac{1}{2}}$ and use the power law

3. Power rule...

$\sqrt t= t^{1/2} dt$
$t^{1/2} dt= \frac {t^{3/2}}{3/2} + C$
I got it thanks

4. Originally Posted by Minino777
$\sqrt t= t^{1/2} dt$
$t^{1/2} dt= \frac {t^{3/2}}{3/2} + C$
I got it thanks
Indeed although it is convention to write $\frac{1}{\frac{3}{2}} = \frac{2}{3}$

ie: $\frac{2}{3}t^{3/2} + C$