University of Maryland Global Campus                                                                                  lDr

                                                     University of Maryland Global Campus                                                                                  lDr. A Mohamed

                                                           MATH 141 6381-Calculus II                                                                                                               Fall 2020

                                                                                   Quiz #4 (100 pts)                                                                                                                     09/16/’20

(Show all your work to get full credit)

(Due on Tuesday, September 22, 2020 @ 11:59 p.m.)

1. (50 pts) Find the following integrals

a. 0π/2sinx1-cosxdx

b. e∞1x ln3xdx

c. 242x x2-4dx

d. 0∞1ex+e-xdx

e. 01x1-x2dx

2. (50 pts) Evaluate the following integrals.

a. x sec2x dx

b. x2arctanx dx

c. sin?(lnx)dx

d. x sinx cosx dx

e. lnx2+1 dx

Bonus 10 points

Let R

 be the region bounded by the curve y=lnx

, the x-axis

, and the line x=e

. Find the area of R

.