Answer = 2x^3/3 + 3x^2/2 + 8x + CThis is an example of numerical integration from C1. To begin to answer this question, we can integrate each term at a time. To integrate this function, we raise the power of the polynomial and divide the new polynomial by the new power i.e if y = x, the integral would be (x^(1+1))/(1+1). So after doing this term by term, most students would finish there but there is a final term which is the polynomial with power 0, in the answer I wrote it as the arbitrary constant C.