How to Integrate the Equation (b1-(b1*x/L)+(b2*x/L))^2 with Respect to x?

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Homework Statement



Integrate

Homework Equations



integrating following equation about dx:
(b1-(b1*x/L)+(b2*x/L))^2

The Attempt at a Solution



I expanded all terms than integrated. I used integration by part to get it down to this but I am curious to see if there's better way to integrate this respect to x
 
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You could use a substitution u = everything in the brackets.
 


right u substitution...thanks!
 

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