Anti-differentiate by recognition from a supplied derivative
Use the displayed function and supplied derivative
No decimal approximation is needed
\[R(u)=\left(5\,u + 4\right)^{\frac{3}{2}}\]
\[R'(u)=\frac{3}{2}\,\left(5\,u + 4\right)^{\frac{1}{2}}\,\left(5\right)\]
\[g(u)=R'(u)\]
Work on the interval where
\[5\,u + 4>0\]