Castigaliano's Theorem for cantilever beam

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hatchelhoff
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Hi I am trying to derive an expression for the deflection in a cantilever beam using castigliano's theorem.
I have found and attached an example of the solution. I understand the most of what is going on in the attached solution but I don't understand where the b^3 came from in the last line.
castigliano for beam deflection.PNG
 

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Hi. Post in homework, use the full template to explain the symbols and relevant equations and show us what you get from the integral !
 
I will do that cheers