Question 1

Evaluate the following integral.

Accepted Answer

The answer of Evaluate the following integral. ...

Question 2

Find the integral.

Accepted Answer

A)   
B)   
C)   
D)    A

Question 3

Evaluate the integral or show that it is divergent.

Accepted Answer

A)   
B)    
C)   
D)   
E)    B

Question 4

Estimate the area of the shaded region by using the Trapezoidal Rule with  . Round the answer to the nearest tenth.

Accepted Answer

The answer of Estimate the area of the shaded region...

Question 5

Find the area bounded by the curves  and  between  and  .

Accepted Answer

The answer of Find the area bounded by the curves...

Question 6

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.

Accepted Answer

The answer of Household electricity is supplied in the form...

Question 7

Use Simpson's Rule to approximate the integral with answers rounded to four decimal places.

Accepted Answer

A)  4.0689
B)  3.6993
C)  3.3296
D)  2.9599

Question 8

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral. ...

Question 9

Use a table of integrals to evaluate the integral.

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Evaluate the integral.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

Use the Table of Integrals to evaluate the integral.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 12

Find the integral.

Accepted Answer

A)   
B)   
C)   
D)

Question 13

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral. ...

Question 14

Use long division to evaluate the integral.  The choices are rounded to 3 decimal places.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral. ...

Question 16

Find the integral.

Accepted Answer

The answer of Find the integral. ...

Question 17

Determine whether the improper integral converges or diverges, and if it converges, find its value.

Accepted Answer

The answer of Determine whether the improper integral converges or...

Question 18

Evaluate the integral.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 19

Evaluate the integral.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 20

Evaluate the integral.

Accepted Answer

A)    
B)   
C)   
D)   
E)

Exam 7: Techniques of Integration

Evaluate the following integral.

Find the integral.

Evaluate the integral or show that it is divergent.

Estimate the area of the shaded region by using the Trapezoidal Rule with . Round the answer to the nearest tenth.

Find the area bounded by the curves and between and .

Use Simpson's Rule to approximate the integral with answers rounded to four decimal places.

Evaluate the integral.

Use a table of integrals to evaluate the integral.

Evaluate the integral.

Use the Table of Integrals to evaluate the integral.

Find the integral.

Evaluate the integral.

Use long division to evaluate the integral. The choices are rounded to 3 decimal places.

Evaluate the integral.

Find the integral.

Determine whether the improper integral converges or diverges, and if it converges, find its value.

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.