31B Homework 5- Due Friday, May 10th in class
Uncollected problems:
Section 8.6 # 5, 6, 11, 20, 21, 27, 29, 37, 40, 43, 47, 59, 64, 67, 77, 81
Section 8.8 # 7, 10, 15, 31, 33, 35, 44, 53
Collected problems:
1. Integrate the following improper integrals:(a)Z10xln(x)dx(b)Z∞-∞x3e-x4dx2. Determine if the following integrals converge or diverge:(a)Z∞17 cos2(x)3 +x2dx(b)Zπ/202xsin(x)dx(c)Z∞12√4x2-2dx3. In this problem we will approximate the integral of cos(x3) over the interval [0,2].(a) Write an expression forMN,TNandSNwithN= 4.(b) For each of the approximations determine an