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Elementary,Middle School,High School,College,University,PHD
Teaching Since: | Apr 2017 |
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Questions Answered: | 12843 |
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MBA, Ph.D in Management
Harvard university
Feb-1997 - Aug-2003
Professor
Strayer University
Jan-2007 - Present
QUIZ # 4 Problems
(An answer, even if “correct” but lacking work, will NOT receive full
credit!)
1. Use the definition of an improper integral to evaluate the following integrals.
(a) 1 x 3 dx
4 (b)
4 1 0 5/ 2 1 x
(c) x
1 5/2 dx
dx 2. Determine whether the improper integral is convergent or divergent without solving
the integral. Use an appropriate inequality to support your conclusion.
(a) x
1 (b) 3 2x
dx 3x 2 2
1 x 1 2 dx 3. Complete the square in the denominator, make appropriate substitution, and integrate.
1
x 2 2 x 10dx
4. Evaluate the following integrals using the integration by parts.
(a) (3x 4) sin xdx
(b) 2 x ln xdx
(c)
2 x x e dx
5. Find the integral e 3x (Hint: Reappearing Integral)
sin( x )dx
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