Question 1

Evaluate  . Use a CAS or calculator with integration capability. It may be necessary to make a substitution that converts the integral into one that can be integrated.

Accepted Answer

The answer of Evaluate  . Use a CAS or...

Question 2

Answer true or false.  diverges.

Accepted Answer

A) True 
 B)False

Question 3

Evaluate  . Use a CAS or calculator with integration capability. It may be necessary to make a substitution that converts the integral into one that can be integrated.

Accepted Answer

The answer of Evaluate  . Use a CAS or...

Question 4

Evaluate  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 5

Answer true or false.  =  = -1

Accepted Answer

A) True 
 B)False

Question 6

Answer true or false.  = 6.69

Accepted Answer

A) True 
 B)False

Question 7

Evaluate  .

Accepted Answer

The answer of Evaluate  ....

Question 8

Evaluate  .

Accepted Answer

The answer of Evaluate  ....

Question 9

Use the Endpaper Integral Table to evaluate the integral.

Accepted Answer

The answer of Use the Endpaper Integral Table to evaluate...

Question 10

Use n = 10 to approximate  by the trapezoid rule.

Accepted Answer

The answer of Use n = 10 to approximate ...

Question 11

Use inequality (10) to find an upper bound on the magnitude of the error for the approximate value of  found by the midpoint approximation using 10 subintervals.

Accepted Answer

The answer of Use inequality (10) to find an upper...

Question 12

Use n = 10 subdivisions to approximate the value of the integral  by the midpoint approximation.

Accepted Answer

The answer of Use n = 10 subdivisions to approximate...

Question 13

Evaluate  =

Accepted Answer

The answer of Evaluate  =...

Question 14

Use Endpaper Tables to evaluate  .

Accepted Answer

The answer of Use Endpaper Tables to evaluate  ....

Question 15

Find the arc length of the curve y = ln(x⁴) for 2 $\le$ x $\le$ 4.

Accepted Answer

The answer of Find the arc length of the curve...

Question 16

Use Endpaper Tables to evaluate  .

Accepted Answer

The answer of Use Endpaper Tables to evaluate  ....

Question 17

Answer true or false.  = 0

Accepted Answer

A) True 
 B)False

Question 18

Use n = 10 subdivisions to approximate the value of the integral  by the trapezoidal approximation.

Accepted Answer

The answer of Use n = 10 subdivisions to approximate...

Question 19

Evaluate  .

Accepted Answer

The answer of Evaluate  ....

Question 20

Answer true or false. The area enclosed by  , y = 0, x = 0, x = 16 is  .

Accepted Answer

A) True 
 B)False

Exam 7: Principle of Integral Evaluation

Evaluate . Use a CAS or calculator with integration capability. It may be necessary to make a substitution that converts the integral into one that can be integrated.

Answer true or false. diverges.

Evaluate . Use a CAS or calculator with integration capability. It may be necessary to make a substitution that converts the integral into one that can be integrated.

Evaluate .

Answer true or false. = = -1

Answer true or false. = 6.69

Evaluate .

Evaluate .

Use the Endpaper Integral Table to evaluate the integral.

Use n = 10 to approximate by the trapezoid rule.

Use inequality (10) to find an upper bound on the magnitude of the error for the approximate value of found by the midpoint approximation using 10 subintervals.

Use n = 10 subdivisions to approximate the value of the integral by the midpoint approximation.

Evaluate =

Use Endpaper Tables to evaluate .

Find the arc length of the curve y = ln(x4) for 2 ≤\le≤ x ≤\le≤ 4.

Use Endpaper Tables to evaluate .

Answer true or false. = 0

Use n = 10 subdivisions to approximate the value of the integral by the trapezoidal approximation.

Evaluate .

Answer true or false. The area enclosed by , y = 0, x = 0, x = 16 is .

Find the arc length of the curve y = ln(x⁴) for 2 $\le$ x $\le$ 4.