[b]Lucifer's 3rd rule:[/b] Antiderivatives can be done one sum or difference at a time, but you only need one constant of integration.[br][br]For instance:[br][br][math]\int3x^2+2x-5dx=\int3x^2dx+\int2xdx-\int5dx[/math][br][br]Now apply Lucifer's 1st Rule, and we are done:[br][br][math]\int3x^2dx+\int2xdx-\int5dx=x^3+x^2-5x+c[/math][br][br]The last bit of this is the antiderivative. In other words [code]F(x)=x^3+x^2-5x+c[br][/code] is the antiderivative of [code]f(x)=3x^2+2x-5x[/code].[br][br]The fact that there is only one constant of integration in [code]F(x)[/code] (instead of 3) is what is meant by "you only need one constant of integration."