problems with integration

[resolved]

unfortunately at my level of understanding, nothing seems simple. my problem is I have a beam (would like to send you a picture, but the "insert image" requires a "URL" ?? -- no URL to my hard drive) with a couple, two loads, two supports and has the following moment equation:

c2 + 3 (-9 + x)^3 + 1/4 (-9 + x)^4 + 7/2 (-3 + x)^3 - 1/4 (-3 + x)^4 + c1 x - 12 x^2

to solve for c1 and c2 requires that I use 'singular functions' that is, the term drops out if it evaluates less than zero. In mathematica it looks like this

ycc[x_] :=
3 Max[0, (-9 + x)]^3 + 1/4 Max[0, (-9 + x)]^4 + 7/2 Max[0, (-3 + x)]^3 - 1/4 Max[0, (-3 + x)]^4 - 12 x^2 + c1 x + c2

NSolve[{0 == ycc[x] /. x -> 3, 0 == ycc[x] /. x -> 9}, {c1, c2}]

the results are: {{c1 -> 72., c2 -> -108.}}

so if I "just simplify" my first equation I will get the wrong values for c1 and c2 as they evaluate at different location along the beam and different terms will drop out at different locations on the beam. This is reason why I can't integrate a simplified form of the equation, as terms will be combined losing the ability to drop those terms (representing different loads) that come after the location I am determining the deflection in the beam.