## anonymous one year ago Find the most general antiderivative of the function. G ( t ) = 4 + t + t^2/ sqrt t

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1. Astrophysics

$G(t) = 4+t+ \frac{ t^2 }{ \sqrt{t} }$ we can write this as $G(t) = 4+t+t^{3/2}$ so what do you get when you integrate this expression $\int\limits (4+t+t^{3/2}) dt$

2. Astrophysics

@Cocheso

3. Astrophysics

I wonder if the whole thing is over sqrt t, or just that...

4. Astrophysics

$G(t) = \frac{ 4+t+t^2 }{ \sqrt{t} }$ if so, we can split them up or express it as $\int\limits (4+t+t^2)t^{-1/2} dt$