Improper Integral

1. Use the definition of an improper integral to evaluate the following integrals.

(a)

(b)

(c)

2. Determine whether the improper integral is convergent or divergent without solving the integral. Use an appropriate inequality to support your conclusion.

(a)

(b)

3. Complete the square in the denominator, make appropriate substitution, and integrate.

(Hint:)

4. Evaluate the following integrals using the integration by parts.

(a)

(b)

(c)

5. Find the integral (Hint: Reappearing Integral)

• What is a demand curve?
• How would a decline in the health status of the baby boomer population shift the demand curve if there are no changes in the cost of health care services i.e., nursing care services? Would the demand curve shift to the left, or right and why?
• What impact would a decrease in the quality of health care services i.e., assisted living facilities, or a decline in the baby boomer population income have on the demand curve? Would the demand curve shift to the left, or right and why?