MATH 1620 Study Guide - Final Guide: Riemann Sum
Document Summary
Math 1620, calculus ii: determine whether each integral is convergent or divergent. 2 (a) z 0 (b) z (c) z (d) z (e) z 1 (f) z 2 (g) z 4. 3 4x e 3pdp xe x2 dx ln(x) x2 dx. 0 x2 x 2: use the comparison theorem to determine whether the integral is con- vergent or divergent. 1 (a) z (b) z (c) z . 1 + ex dx: find the exact length of the curve. (a) y = 1 + 6x3/2, (b) x = (c) y = y4. 2: find the arc length function for the curve y = 2x3/2 with starting point. P0(1, 2): find the exact area of the surface obtained by rotating the curve about x-axis. (a) y = x3, 1 x 2 (b) y = 1 + ex, 0 x 1. 2 , 1 y 2 (c) x = (d) x = 1 + 2y2, 1 y 2 (y2 + 2)
