Deck 6: Extension B: Applications of Integration

Question 1

Find the integral.

A)
B)
C)
D)

Answer 1

Question 2

Find the integral.

A)
B)
C)
D)

Answer 2

Question 3

Find the integral.

A)
B)
C)
D)

Answer 3

Question 4

Evaluate the integral using the indicated trigonometric substitution.

Question 5

Find the integral using an appropriate trigonometric substitution.

A)
B)
C)
D)

Question 6

Find the integral using an appropriate trigonometric substitution.

A)
B)
C)
D)

Question 7

Find the area of the region bounded by the hyperbola and the line

Question 8

Find the integral.

Question 9

Household electricity is supplied in the form of alternating current that varies from 170 V to -170 V with a frequency of 60 cycles per second (Hz).The voltage is thus given by the function E(t),where t is the time in seconds.Voltmeters read the RMS (root-mean-square)voltage,which is the square root of the average value of over one cycle.Calculate the RMS voltage of household current.Round your answer to the nearest integer.

Question 10

Evaluate the integral.

A)
B)
C)
D)

Question 11

A particle moves on a straight line with velocity function .Find its position function

A)
B)
C)
D)
E)

Question 12

Evaluate the integral.

A)
B)
C)
D)
E)

Question 13

Find the integral.

A)
B)
C)
D)

Question 14

Evaluate the integral using the indicated trigonometric substitution.

A)
B)
C)
D)
E)