Question 1

Find the area of the region bounded by the x-axis and the graph of the function
​

Accepted Answer

The answer of Find the area of the region bounded...

Question 2

Use the formula ​   ​
To find the integral.
​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

Evaluate the following improper integral whenever it is convergent.
​

Accepted Answer

The answer of Evaluate the following improper integral whenever it...

Question 4

As a result of increasingly stiff laws aimed at reducing the number of alcohol-related traffic accidents in a certain state, preliminary data indicate that the number of such accidents has been changing at the rate of
​   ​
accidents/month t months after the laws took effect. There were 902 alcohol-related accidents for the year before the enactment of the laws. Determine how many alcohol-related accidents were expected during the first year the laws were in effect. Please round the answer to the nearest integer.
​
__________ accidents

Accepted Answer

The answer of As a result of increasingly stiff laws...

Question 5

Approximate the value of the definite integral.
​   ​
Use the trapezoidal rule. Please give the answer to four decimal places.
​
Use the Simpson's rule. Please give the answer to four decimal places.

Accepted Answer

The answer of Approximate the value of the definite integral.
​...

Question 6

Evaluate the definite integral by using the method of integration by parts.
​

Accepted Answer

The answer of Evaluate the definite integral by using the...

Question 7

Use the table of integrals to find the integral. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 8

Find the area of the region bounded by the x-axis and the graph of the function ​   ​

Accepted Answer

A)    
B)    
C)  ​   
D)  ​   
A)    
B)    
C)  ​   
D)  ​

Question 9

Find the indefinite integral.
​

Accepted Answer

The answer of Find the indefinite integral.
​  ...

Question 10

Use the table of integrals to find the integral.
​   ​
Use C as the constant of integration.

Accepted Answer

The answer of Use the table of integrals to find...

Question 11

Find the volume of the solid of revolution obtained by revolving the region under the curve
​   ​
from   to   about the   -axis.

Accepted Answer

The answer of Find the volume of the solid of...

Question 12

Use the table of integrals to find the integral. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

Use the table of integrals to find the given integral.
​   ​
Use C as the constant of integration.

Accepted Answer

The answer of Use the table of integrals to find...

Question 14

Evaluate the improper integral if it is convergent. ​   ​

Accepted Answer

A)  4 
B)  -3 
C)  2 
D)  3 
E)  divergent 
A)  4 
B)  -3 
C)  2 
D)  3 
E)  divergent

Question 15

Evaluate the following improper integral whenever it is convergent. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)  the integral is divergent 
A)    
B)    
C)    
D)    
E)  the integral is divergent

Question 16

Find the area of the region bounded by the x-axis and the graph of the function. ​   ​

Accepted Answer

A)  1 sq units 
B)  5 sq units 
C)  4 sq units 
D)  3 sq units 
E)  2 sq units 
A)  1 sq units 
B)  5 sq units 
C)  4 sq units 
D)  3 sq units 
E)  2 sq units

Question 17

Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

Use the table of integrals to find the integral.
​   ​

Accepted Answer

The answer of Use the table of integrals to find...

Question 19

Find the indefinite integral.
​   ​

Accepted Answer

The answer of Find the indefinite integral.
​   ​...

Question 20

Find the volume of the solid of revolution obtained by revolving the region bounded above by the curve
​   ​
and below by the curve
​   ​
from   to   about the   -axis.

Accepted Answer

The answer of Find the volume of the solid of...

Find the area of the region bounded by the x-axis and the graph of the function

Use the formula To find the integral.

Evaluate the following improper integral whenever it is convergent.

Approximate the value of the definite integral. Use the trapezoidal rule. Please give the answer to four decimal places. Use the Simpson's rule. Please give the answer to four decimal places.

Evaluate the definite integral by using the method of integration by parts.

Use the table of integrals to find the integral.

Find the area of the region bounded by the x-axis and the graph of the function

Find the indefinite integral.

Use the table of integrals to find the integral. Use C as the constant of integration.

Find the volume of the solid of revolution obtained by revolving the region under the curve from to about the -axis.

Use the table of integrals to find the integral.

Use the table of integrals to find the given integral. Use C as the constant of integration.

Evaluate the improper integral if it is convergent.

Evaluate the following improper integral whenever it is convergent.

Find the area of the region bounded by the x-axis and the graph of the function.

Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral.

Use the table of integrals to find the integral.

Find the indefinite integral.

Find the volume of the solid of revolution obtained by revolving the region bounded above by the curve and below by the curve from to about the -axis.

Preliminaries

Functions, Limits, and the Derivative

Differentiation

Applications of the Derivative

Exponential and Logarithmic Functions

Integration

Calculus of Several Variables

Differential Equations

Probability and Calculus

Taylor Polynomials and Infinite Series

Trigonometric Functions

Filters

Exam 7: Additional Topics in Integration

Find the area of the region bounded by the x-axis and the graph of the function ​

Use the formula ​ ​ To find the integral. ​ ​

Evaluate the following improper integral whenever it is convergent. ​

Approximate the value of the definite integral. ​ ​ Use the trapezoidal rule. Please give the answer to four decimal places. ​ Use the Simpson's rule. Please give the answer to four decimal places.

Evaluate the definite integral by using the method of integration by parts. ​

Use the table of integrals to find the integral. ​ ​

Find the area of the region bounded by the x-axis and the graph of the function ​ ​

Find the indefinite integral. ​

Use the table of integrals to find the integral. ​ ​ Use C as the constant of integration.

Find the volume of the solid of revolution obtained by revolving the region under the curve ​ ​ from to about the -axis.

Use the table of integrals to find the integral. ​ ​

Use the table of integrals to find the given integral. ​ ​ Use C as the constant of integration.

Evaluate the improper integral if it is convergent. ​ ​

Evaluate the following improper integral whenever it is convergent. ​ ​

Find the area of the region bounded by the x-axis and the graph of the function. ​ ​

Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. ​ ​

Use the table of integrals to find the integral. ​ ​

Find the indefinite integral. ​ ​

Find the volume of the solid of revolution obtained by revolving the region bounded above by the curve ​ ​ and below by the curve ​ ​ from to about the -axis.

Preliminaries

Functions, Limits, and the Derivative

Differentiation

Applications of the Derivative

Exponential and Logarithmic Functions

Integration

Calculus of Several Variables

Differential Equations

Probability and Calculus

Taylor Polynomials and Infinite Series

Trigonometric Functions

Filters

Find the area of the region bounded by the x-axis and the graph of the function

Use the formula To find the integral.

Evaluate the following improper integral whenever it is convergent.

Approximate the value of the definite integral. Use the trapezoidal rule. Please give the answer to four decimal places. Use the Simpson's rule. Please give the answer to four decimal places.

Evaluate the definite integral by using the method of integration by parts.

Use the table of integrals to find the integral.

Find the area of the region bounded by the x-axis and the graph of the function

Find the indefinite integral.

Use the table of integrals to find the integral. Use C as the constant of integration.

Find the volume of the solid of revolution obtained by revolving the region under the curve from to about the -axis.

Use the table of integrals to find the integral.

Use the table of integrals to find the given integral. Use C as the constant of integration.

Evaluate the improper integral if it is convergent.

Evaluate the following improper integral whenever it is convergent.

Find the area of the region bounded by the x-axis and the graph of the function.

Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral.

Use the table of integrals to find the integral.

Find the indefinite integral.

Find the volume of the solid of revolution obtained by revolving the region bounded above by the curve and below by the curve from to about the -axis.