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236 Chapter 4: Integration
4.2 Area
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Find the sum given below.
a. 42
b. 44
c. 38
d. 50
e. 40
____ 2. Find the sum given below.
a.
b.
c.
d.
e.
____ 3. Use sigma notation to write the sum .
a.
b.
c.
4.2 Area 237
d.
e.
____ 4. Use the properties of summation and Theorem 4.2 to evaluate the sum.
a. 667
b. 552
c. 575
d. 1311
e. 391
____ 5. Use the properties of summation and Theorem 4.2 to evaluate the sum.
a. 1156
b. 1190
c. 2108
d. 2244
e. 323
____ 6. Use the properties of summation and Theorem 4.2 to evaluate the sum.
a. 9,176
b. 10,471
c. 18,907
d. 9,139
e. 98,346
238 Chapter 4: Integration
____ 7. Use the properties of summation and Theorem 4.2 to evaluate the sum.
a. 239
b. 7,656
c. 7,612
d. 3,861
e. 7,590
____ 8. Use the properties of summation and Theorem 4.2 to evaluate the sum.
a. 2,156
b. 64,262
c. 68,057
d. 258,060
e. 66,033
____ 9. Use left endpoints and 10 rectangles to find the approximation of the area of the
region between the graph of the function and the x-axis over the interval . Round
your answer to the nearest integer.
a. 2925
b. 3325
c. 3000
d. 3250
e. 3125
____ 10. Use left endpoints and 12 rectangles to find the approximation of the area of the
region between the graph of the function and the x-axis over the interval . Round your
answer to four decimal places.
a. 0.0419
b. 0.1319
c. 0.1219
d. 0.0819
e. 0.0119
4.2 Area 239
____ 11. Use the summation formulas to rewrite the expression without the
summation notation.
a.
b.
c.
d.
e.
____ 12. Find the limit.
a. 20
b. 18
c. 36
d. 80
e. 40
____ 13. Use the limit process to find the area of the region between the graph of the function
and x-axis over the interval .
a.
b.
c.
d.
e.
240 Chapter 4: Integration
____ 14. Find the sum given below.
a. 754
b. 66
c. 760
d. 752
e. 70
____ 15. Use the summation formulas to rewrite the expression without the
summation notation.
a.
b.
c.
d.
e.
4.2 Area 241
4.2 Area
Answer Section
