For x>0x>0x>0, f′(x)=5+1/(2x3/2)f'(x)=5+1/(2x^{3/2})f′(x)=5+1/(2x3/2) and f(1)=2f(1)=2f(1)=2. Find f(x)f(x)f(x) in simplest form.