Multiple choice a. e^ 2 b. e c. 2 d. e^2 ? e e. None of the above a. 2?e^2/3 b.

Question

Multiple choice

a. e^2

b. e
c. 2
d. e^2 ? e
e. None of the above

a. 2?e^2/3

b. e^2+1/4
c. e^2?3/4
d. 1?e^2/8
e. None of the above

a. 1/4(2-1/e)
b. 1/4(1 ?2/e)
c. 1/2(2 + 1/e)
d. 1/2(2 ?2/e)
e. None of the above

Use partial fractions to find the following indefinite integrals

5.Evalute Integral 1/x^2-1 dx

a. 1/2ln(| x |) + 1/2ln(| x ? 1 |) + C

b. 1/2ln(| x |) ?1/2ln(| x ? 1 |) + C
c. 1/2ln(| x ? 1 |) + 1/2ln(| x + 1 |) + C
d. 1/2ln(| x ? 1 |) ?1/2ln(| x + 1 |) + C
e. None of the above

6.evaluate Intergral 3x-1/x^2-x-6 dx

a. 7/5ln(| x + 2 |) + 8/5ln(| x ? 3 |) + C
b. 7/5ln(| x + 2 |) ?8/5ln(| x ? 3 |) + C
c. 7/5ln(| x ? 2 |) + 8/5ln(| x + 3 |) + C
d. 7/5ln(| x ? 2 |) ?8/5ln(| x + 3 |) + C
e. None of the above

7.Evaluate Integral 5x+3/x^3-2x^2-3x

a. ln | x | ?1/2ln(| x + 1 |) + 3/2ln(| x ? 3 |) + C
b. ? ln | x | ?1/2ln(| x + 1 |) + 3/2ln(| x ? 3 |) + C
c. ln | x | +1/2ln(| x + 1 |) ?3/2ln(| x ? 3 |) + C
d. ? ln | x | +1/2ln(| x + 1 |) ?3.2ln(| x ? 3 |) + C
e. None of the above

Explanation / Answer

1. c 1

2. a. e^2

3. a. 2?e^2/3

4. a. 1/4(2-1/e)

5. d. 1/2ln(| x ? 1 |) ?1/2ln(| x + 1 |) + C

6. a. 7/5ln(| x + 2 |) + 8/5ln(| x ? 3 |) + C

7. a. ln | x | ?1/2ln(| x + 1 |) + 3/2ln(| x ? 3 |) + C

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