Stewart – Calculus ET 8e Chapter 7 Form D
____ 4. Evaluate the integral.
a.
b.
c.
d.
____ 5. Find the integral.
a.
b.
c.
d.
Stewart – Calculus ET 8e Chapter 7 Form D
____ 6. Evaluate the integral.
a.
b.
c.
d.
e. None of these
____ 7. Evaluate the integral using the indicated trigonometric substitution.
a.
b.
c.
d.
e.
Stewart – Calculus ET 8e Chapter 7 Form D
____ 8. Evaluate the integral using an appropriate trigonometric substitution.
a.
b.
c.
d.
____ 9. Evaluate the integral.
a.
b.
c.
d.
e.
Stewart – Calculus ET 8e Chapter 7 Form D
____ 10. Find the integral.
a.
b.
c.
d.
____ 11. Use a table of integrals to evaluate the integral.
a.
b.
c.
d.
Stewart – Calculus ET 8e Chapter 7 Form D
____ 12. Use long division to evaluate the integral.
The choices are rounded to 3 decimal places.
a.
b.
c.
d.
e.
____ 13. Evaluate the integral.
a.
b.
c.
d.
e.
Stewart – Calculus ET 8e Chapter 7 Form D
____ 14. Evaluate the integral.
a.
b.
c.
d.
e.
____ 15. Use a table of integrals to evaluate the integral.
a.
b.
c.
d.
Stewart – Calculus ET 8e Chapter 7 Form D
____ 16. Use the Trapezoidal Rule to approximate the integral with answers rounded to four decimal places.
a. 0.2029
b. 0.1088
c. 0.1163
d. 0.2326
____ 17. Use Simpson’s Rule to approximate the integral with answers rounded to four decimal places.
a. 2.0076
b. 2.9504
c. 2.6098
d. 2.2955
____ 18. Find the area bounded by the curves and between and .
a.
b.
c.
d.
e.
Stewart – Calculus ET 8e Chapter 7 Form D
____ 19. The region is represented below.
Find the area of this region to two decimal places.
246810–2–4–6–8–10 x
2
4
6
8
10
–2
–4
–6
–8
–10
y
a. 20.28
b.
c.
d.
e.
____ 20. Evaluate the integral.
a.
b.
c.
d.
e.
Stewart – Calculus ET 8e Chapter 7 Form D
Answer Key
Stewart – Calculus ET 8e Chapter 7 Form E
____ 1. Evaluate the integral. Select the correct answer.
a.
b.
c.
d.
e.
2. Evaluate the indefinite integral.
3. Find the integral.
4. Find the integral.
____ 5. Evaluate the integral. Select the correct answer.
a.
b. 6.5700
c. 0.7166
d. 11.8665
e.
6. Evaluate the integral using integration by parts with the indicated choices of u and dv.
7. Evaluate the integral.
Stewart – Calculus ET 8e Chapter 7 Form E
8. Find the integral.
9. Find the average value of the function in the interval .
____ 10. Find the integral using an appropriate trigonometric substitution. Select the correct answer.
a.
b.
c.
d.
11. Find the integral.
12. Find the integral.
Stewart – Calculus ET 8e Chapter 7 Form E
____ 13. Use a table of integrals to evaluate the integral. Select the correct answer.
a.
b.
c.
d.
14. Evaluate the integral.
15. Evaluate the integral.
Stewart – Calculus ET 8e Chapter 7 Form E
____ 16. The region under the curve , is rotated about the x-axis. Find the volume of the
resulting solid. Select the correct answer.
a.
b.
27
8
c.
d.
e.
17. Use Simpson’s Rule to approximate the integral with answers rounded to four decimal places.
18. Determine whether the improper integral converges or diverges, and if it converges, find its value.
19. A manufacturer of light bulbs wants to produce bulbs that last about hours but, of course,
some bulbs burn out faster than others. Let be the fraction of the company’s bulbs that burn
out before t hours. lies between 0 and 1.
Let . What is the value of ?
20. Evaluate the integral.
Stewart – Calculus ET 8e Chapter 7 Form E
Answer Key
Stewart – Calculus ET 8e Chapter 7 Form F
____ 1. Evaluate the integral. Select the correct answer.
a.
b.
c.
d.
e.
2. Evaluate the integral.
3. Evaluate the integral.
4. Evaluate the integral.
____ 5. Find the integral. Select the correct answer.
a.
b.
c.
d.