I am getting the concept of anti derivatives but when constants are involved I am having trouble for some reason. I have the following homework question
If a diver of mass m stands at the end of a diving board with length L and linear density p then the board takes on the shape of a curve y = f(x) where
EIy′′= mg(L -x) + 1/2pg(L - x)²
E and I are positive constants that depend on the material of the board and g(< 0_ is the acceleration due to gravity.
I need to find an expression for the shape of the curve. To do this I would need to find the anti derivative of EIy′′ which would be EIy′ and then find the anti derivative of EIy′ to get ELy which is my f(x) correct? If so how do I start to anti differentiate EIy′′? Any help would be appriciated. Thanks