∫x√(2x+3) dx= 1/4∫[(2x+3)-3]√(2x+3)d(2x+3) = 1/4 { ∫(2x+3)^(3/2) d(2x+3) -3∫√(2x+3)d(2x+3) }= 1/4 { 2/5*(2x+3)^(5/2) - 3*(2/3)*(2x+3)^(3/2) } + C= 1/10(2x+3)^(5/2) - 1/2(2x+3)^(3/2) + C