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Problem and Solution (albeit to a beam of different length L) provided in attachments.

Hi, I have been able to follow the provided solution to get the moment equations and understand the x1 and x2 positional references etc. I also understand that integrating the moment equations provides the solutions to the slope and further integration the solution to the displacement. I also understand in order to get the constants of integration I have to use known boundary conditions.

My hang up is how the solution has gone from this part:

EI*y''=wL(3x2 - L)/12

EI*y'=wx2^2/8 + C2

Perhaps my calculus is a bit weak these days after a break from studies. Little help?

Hi, I have been able to follow the provided solution to get the moment equations and understand the x1 and x2 positional references etc. I also understand that integrating the moment equations provides the solutions to the slope and further integration the solution to the displacement. I also understand in order to get the constants of integration I have to use known boundary conditions.

My hang up is how the solution has gone from this part:

EI*y''=wL(3x2 - L)/12

EI*y'=wx2^2/8 + C2

Perhaps my calculus is a bit weak these days after a break from studies. Little help?