Deck 4: Section 2: Integration

Question 1

Use the properties of summation and Theorem 5.2 to evaluate the sum.

A) 9,176
B) 10,471
C) 18,907
D) 9,139
E) 98,346

Answer 1

10,471

Question 2

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)

Answer 2

Question 3

Use the summation formulas to rewrite the expression without the summation notation.

A)
B)
C)
D)
E)

Answer 3

Question 4

Use the properties of summation and Theorem 5.2 to evaluate the sum.

A) 2,156
B) 64,262
C) 68,057
D) 258,060
E) 66,033

Question 5

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

Question 6

The diagram below shows upper and lower sums for the function using 4 subintervals. Use upper and lower sums to approximate the area of the region using the 4 subintervals.

A) lower: 1.166 ; upper: 1.666
B) lower: 4.664 ; upper: 6.664
C) lower: 2.332 ; upper: 3.332
D) lower: 0.916 ; upper: 1.916

Question 7

Find the limit of as .

A) 1/10
B) 5
C) unbounded
D) 1/2
E) 1

Question 8

Use the properties of summation and Theorem 5.2 to evaluate the sum.

A) 239
B) 7,656
C) 7,612
D) 3,861
E) 7,590

Question 9

Use the properties of summation and Theorem 5.2 to evaluate the sum.

A) 667
B) 552
C) 575
D) 1311
E) 391

Question 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

Question 11

Find the sum given below.

A)
B)
C)
D)
E)

Question 12

Use sigma notation to write the sum .

A)
B)
C)
D)
E)

Question 13

Find the limit of as .

A) 5/7
B) 5
C) 1/7
D) 10/7
E) unbounded

Question 14

Find the limit.

A) 20
B) 18
C) 36
D) 80
E) 40

Question 15

Find the sum given below.

A) 3
B) 33
C) 25
D) 67
E) 43

Question 16

Use the properties of summation and Theorem 5.2 to evaluate the sum.

A) 1156
B) 1190
C) 2108
D) 2244
E) 323

Question 17

Find the sum given below.

A) 42
B) 44
C) 38
D) 50
E) 40