Evaluating an Integral for Total Accumulation

A tank is filled with water at a rate given by $R(t)=\frac{5*\sqrt{t}+3}{t^{1/3}}$ liters per minute for $t > 0$. Calculate the exact total volume of water added to the tank from $t=1$ to $t=8$ minutes by evaluating the integral $\int_{1}^{8} R(t) dt$.