Due wednesday february 4 in the math department dropboxes by 4:00pm. Late assignments will not be accepted; nor will unstapled assignments. Professors in the math department will not lend you a stapler; do not ask for one. By signing below, you declare that this work was your own and that you have not copied from any other individual or other source. For each of the following integrals do the following: (i) explain in one sentence why the integral is an improper integral. (ii) decide whether the integral is convergent or divergent. 1 (a) (i) (a) (i) (b) (ii) (a) 2 (cid:90) x3 + x2 + 5 x2 + 4 (a) (a) (b) Evaluate the following inde nite integrals: (cid:90) x4 8x2 10 x2 3x 10 dx dx (b) Find the volume of the solid obtained by rotating the region bounded by the curves y = x, x = 2 and y = 0 about the x-axis.