I'm not a physicist, but I need to calculate the lattice parameter of a cubic crystal in dependence of the temperature.

The linear expansion coefficient in dependence of Temperature is given by the general formula: \(\displaystyle \alpha(T) = A+B*T+C*T^{2}+C*T^{3}+D*T^{4}\) where A,B, C, D are constants.

I have to calculate the lattice constant for various Temperatures between 300 and 1000K. I tried with a big spreadsheet through calculating the values for very small Temperature steps but I know there must be a more elegant way (maybe integrating?) but I'm not good at that so i would be glad if somebody can help me out here.