Deck 8: Section 2: Integration Techniques, Lhôpitals Rule, and Improper Integrals

Question 1

Evaluate . Round your answer to three decimal places.

A)
B)
C)
D)
E)

Answer 1

Question 2

Find .

A)
B)
C)
D)
E)

Answer 2

Question 3

Find the indefinite integral.

A)
B)
C)
D)
E)

Answer 3

Question 4

Solve .

A)
B)
C)
D)
E)

Question 5

Find the indefinite integral.

A)
B)
C)
D)
E)

Question 6

Find the definite integral.

A)
B)
C)
D)
E)

Question 7

Suppose a model for the ability M of a child to memorize, measured on a scale from to , is given by where t is the child's age in years. Find the average value of this model between the child's first and second birthdays. Round your answer to three decimal places.

A) 1.891
B) 0.920
C) 1.541
D) 3.991
E) 3.026

Question 8

Find the indefinite integral.

A)
B)
C)
D)
E)

Question 9

Suppose a damping force affects the vibration of a spring so that the displacement of the string is given by . Find the average value of y on the interval from to . Round your answer to three decimal places.

A) 0.406
B) 0.131
C) 0.122
D) 0.129
E) 0.382

Question 10

Evaluate . Round your answer to three decimal places.

A)
B)
C)
D)
E)

Question 11

Find the indefinite integral.

A)
B)
C)
D)
E)

Question 12

Find the indefinite integral.

A)
B)
C)
D)
E)

Question 13

Find the indefinite integral.

A)
B)
C)
D)
E)

Question 14

Find the indefinite integral.

A)
B)
C)
D)
E)

Question 15

Find the indefinite integral.

A)
B)
C)
D)
E)

Question 16

Find the indefinite integral.

A)
B)
C)
D)
E)

Question 17

Find the indefinite integral.

A)
B)
C)
D)
E)

Question 18

Find the definite integral.

A)
B)
C)
D)
E)