3x By happy accident this student found a correct answer, but we know this trick won't always work or we wouldn't devote so much time learning to integrate! Let's call polynomials like the one in the example self-integrating. A questio naturally arises; how many self-integrating polynomials are there over the interval [0, 1]? We will answer that questio in this capsule. A quick check of the definition of a self-integrating polynomial indicates that the only constant polynomial satisfing the conditon is po(x) O. We next check to see if there are any self-integrating linear polynomials. Solving the linear equation