Deck 9: Techniques of Integration

Question 1

Evaluate the integral.

Answer 1

D

Question 2

Evaluate the integral.

Answer 2

A

Question 3

Solve the problem.

Answer 3

A

Question 4

Evaluate the integral.

Question 5

Solve the problem.

Question 6

Evaluate the integral.

Question 7

Evaluate the integral.

Question 8

Evaluate the integral.

Question 9

Evaluate the integral.

Question 10

Evaluate the integral.

Question 11

Evaluate the integral.

Question 12

Evaluate the integral.

Question 13

Solve the problem.

Question 14

Evaluate the integral.

Question 15

Evaluate the integral.

Question 16

Evaluate the integral.

Question 17

Evaluate the integral.

Question 18

Evaluate the integral.

Question 19

Evaluate the integral.

Question 20

Evaluate the integral.

Question 21

Evaluate the integral.

A) 20.1
B) 6.70
C) 26.1
D) 4.74

Question 22

Evaluate the integral.

Question 23

Evaluate the integral.

Question 24

Evaluate the integral.

Question 25

Evaluate the integral by using a substitution prior to integration by parts.

Question 26

Evaluate the integral by using a substitution prior to integration by parts.

Question 27

Evaluate the integral.

Question 28

Evaluate the integral.

Question 29

Evaluate the integral.

Question 30

Evaluate the integral.

Question 31

Evaluate the integral.

Question 32

Evaluate the integral by using a substitution prior to integration by parts.

A) -2.27
B) 0.39
C) -1.33
D) -0.94

Question 33

Evaluate the integral.

A) 187.01
B) -61.21
C) 219.01
D) 190.21

Question 34

Evaluate the integral by using a substitution prior to integration by parts.

Question 35

Evaluate the integral by using a substitution prior to integration by parts.

Question 36

Evaluate the integral.

Question 37

Evaluate the integral.

Question 38

Evaluate the integral.

Question 39

Evaluate the integral.

Question 40

Evaluate the integral.

A) 8.51
B) -3.49
C) 14.4
D) 4.51

Question 41

Solve the problem.

Question 42

Solve the problem.

Question 43

Use integration by parts to establish a reduction formula for the integral.

Question 44

Solve the problem.

Question 45

Evaluate the integral by using a substitution prior to integration by parts.

Question 46

Evaluate the integral. The integral may not require integration by parts.

Question 47

Solve the problem.

Question 48

Solve the problem.

Question 49

Solve the problem.

Question 50

Solve the problem.

Question 51

Evaluate the integral by using a substitution prior to integration by parts.

Question 52

Use integration by parts to establish a reduction formula for the integral.

Question 53

Evaluate the integral by using a substitution prior to integration by parts.

Question 54

Evaluate the integral. The integral may not require integration by parts.

Question 55

Solve the problem.

Question 56

Solve the problem.
Find the area between y = ln x and the x-axis from x = 1 to x = 3.

Question 57

Evaluate the integral. The integral may not require integration by parts.

Question 58

Solve the problem.

Question 59

Solve the problem.

Question 60

Solve the problem.

Question 61

Use integration by parts to establish a reduction formula for the integral.

Question 62

Evaluate the integral.

Question 63

Evaluate the integral.

Question 64

Evaluate the integral.

Question 65

Use integration by parts to establish a reduction formula for the integral.

Question 66

Use integration by parts to establish a reduction formula for the integral.

Question 67

Use integration by parts to establish a reduction formula for the integral.

Question 68

Solve the problem.

A) 1100 volts
B) 16 volts
C) 6502 volts
D) 71,327 volts

Question 69

Evaluate the integral.

Question 70

Evaluate the integral.

Question 71

Evaluate the integral.

Question 72

Use integration by parts to establish a reduction formula for the integral.

Question 73

Use integration by parts to establish a reduction formula for the integral.

Question 74

Solve the problem.

Question 75

Evaluate the integral.

Question 76

Use integration by parts to establish a reduction formula for the integral.

Question 77

Use integration by parts to establish a reduction formula for the integral.

Question 78

Evaluate the integral.

Question 79

Solve the problem.

A) 0.07 gallons per hour
B) 4.09 gallons per hour
C) 4.12 gallons per hour
D) 4.24 gallons per hour

Question 80

Evaluate the integral.