$$\displaystyle\int{ \frac{ 1 }{ 2 { x }^{ { \left( \frac{ 1 }{ 2 } \right) }^{ } } + { x }^{ \frac{ 3 }{ 2 } } } }d x$$
$$1/(2*x^(1/2)^()+x^(3/2))*d*x$$
