∫[2^x-(3x+2)^(-3)+(4-x^2)^(-1/2)]dx
=∫2^xdx-∫(3x+2)^(-3)dx+∫(4-x^2)^(-1/2)]dx
=2^x/ln2+(3x+2)^(-2)/6+arcsin(x/2)+C.