integral (from a to b) 4x^3+2x^2-1 dx

Find S4 and S108.

I know how to do this usually when given an a and b, but I feel like it is going to be crazy with just general a and b. I don't know what the answer should be like.

Then it asks what Error (S 14) is for the integral between a and b of a function f(x) that is a cubic polynomial.