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For 10.1.42 - "State whether each sequence converges or diverges. If the sequence converges, find its limit".

For 10.2.38 - "Which of the series definitely diverge by the 'nth' Term Test? What can you conclude about the other series in the problem?"
For 10.3.24 - "Find all the values of 'x' for which each geometric series converges".

                                                           University of Maryland Global Campus                                                                    Dr. A Mohamed

                                                           MATH 141 6381-Calculus II                                                                                                               Fall 2020

                                                                                   Quiz #5 (100 pts)                                                                                                                     09/23/’20

(Show all your work to get full credit)

(Due on Tuesday, September 29, 2020 @ 11:59 p.m.)

1. (50 pts) Find the following integrals

a. 2x+4x3-2x2

 dx

 

b. x2+x-23x3-x2+3x-1 dx

 

c. 3x4+4x3+16x2+20x+9x+2x2+32

 dx

 

d. 2x3-4x-8x2-x(x2+4)

  dx

 

e. x2x-1x2+4x+5

  dx

 

 

2. (5l0 pts) Evaluate the following integrals.

a. sinx cos5x dx

 

b. tan3x sec3x dx

 

c. 1x24-x2

 dx

 

d. x2+4x-5x+2

 dx

 

e. 1+x2x

 dx

 

 

 

Bonus 10 points:

The region under y=

  1x2+1

, above the x-axis

, between x=0

 and x=1

, is revolved about the x-axis

. Find the volume of the resulting solid.