Question 1

Find the integral.Select the correct Answer

Accepted Answer

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

Question 2

Evaluate the integral or show that it is divergent.Select the correct Answer

Accepted Answer

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

Question 3

Evaluate the integral using the indicated trigonometric substitution.

Accepted Answer

The answer of Evaluate the integral using the indicated trigonometric...

Question 4

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 5

Find the integral.

Accepted Answer

The answer of Find the integral.  ...

Question 6

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 7

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 8

Evaluate the integral using the indicated trigonometric substitution.

Accepted Answer

The answer of Evaluate the integral using the indicated trigonometric...

Question 9

Find a bound on the error in approximating the integral   using (a) the Trapezoidal Rule and (b) Simpson's Rule with   ubintervals.

Accepted Answer

The answer of Find a bound on the error in...

Question 10

Find the area bounded by the curves   and   between   and

Accepted Answer

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

Question 11

The region under the graph of   on the interval [1, 2] is revolved about the   Find the volume of the resulting solid.

Accepted Answer

The answer of The region under the graph of ...

Question 12

Use the Table of Integrals to evaluate the integral.

Accepted Answer

The answer of Use the Table of Integrals to evaluate...

Question 13

Find the integral using an appropriate trigonometric substitution.

Accepted Answer

The answer of Find the integral using an appropriate trigonometric...

Question 14

Select the correct Answer for each question.
-Evaluate the integral using an appropriate trigonometric substitution.

Accepted Answer

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

Question 15

Select the correct Answer for each question.
-Evaluate the integral.

Accepted Answer

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

Question 16

Select the correct Answer for each question.
-Use a table of integrals to evaluate the integral.

Accepted Answer

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

Question 17

Make a substitution to express the integrand as a rational function and then evaluate the integral.   Round theAnswer to four decimal places.

Accepted Answer

The answer of Make a substitution to express the integrand...

Question 18

Select the correct Answer for each question.
-Evaluate the integral using integration by parts with the indicated choices of u and dv.

Accepted Answer

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

Question 19

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

Accepted Answer

The answer of Use Simpson's Rule to approximate the integral...

Question 20

Select the correct Answer for each question.
-Evaluate the integral using the indicated trigonometric substitution.

Accepted Answer

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

Find the integral.Select the correct Answer

Evaluate the integral or show that it is divergent.Select the correct Answer

Evaluate the integral using the indicated trigonometric substitution.

Evaluate the integral.

Find the integral.

Evaluate the integral.

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

Evaluate the integral using the indicated trigonometric substitution.

Find a bound on the error in approximating the integral using (a) the Trapezoidal Rule and (b) Simpson's Rule with ubintervals.

Find the area bounded by the curves and between and

The region under the graph of on the interval [1, 2] is revolved about the Find the volume of the resulting solid.

Use the Table of Integrals to evaluate the integral.

Find the integral using an appropriate trigonometric substitution.

Select the correct Answer for each question. -Evaluate the integral using an appropriate trigonometric substitution.

Select the correct Answer for each question. -Evaluate the integral.

Select the correct Answer for each question. -Use a table of integrals to evaluate the integral.

Make a substitution to express the integrand as a rational function and then evaluate the integral. Round theAnswer to four decimal places.

Select the correct Answer for each question. -Evaluate the integral using integration by parts with the indicated choices of u and dv.

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

Select the correct Answer for each question. -Evaluate the integral using the indicated trigonometric substitution.

Functions and Models

Limits and Derivatives

Differentiation Rules

Applications of Differentiation

Integrals

Applications of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters

Exam 7: Techniques of Integration

Find the integral.Select the correct Answer

Evaluate the integral or show that it is divergent.Select the correct Answer

Evaluate the integral using the indicated trigonometric substitution.

Evaluate the integral.

Find the integral.

Evaluate the integral.

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

Evaluate the integral using the indicated trigonometric substitution.

Find a bound on the error in approximating the integral using (a) the Trapezoidal Rule and (b) Simpson's Rule with ubintervals.

Find the area bounded by the curves and between and

The region under the graph of on the interval [1, 2] is revolved about the Find the volume of the resulting solid.

Use the Table of Integrals to evaluate the integral.

Find the integral using an appropriate trigonometric substitution.

Select the correct Answer for each question. -Evaluate the integral using an appropriate trigonometric substitution.

Select the correct Answer for each question. -Evaluate the integral.

Select the correct Answer for each question. -Use a table of integrals to evaluate the integral.

Make a substitution to express the integrand as a rational function and then evaluate the integral. Round theAnswer to four decimal places.

Select the correct Answer for each question. -Evaluate the integral using integration by parts with the indicated choices of u and dv.

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

Select the correct Answer for each question. -Evaluate the integral using the indicated trigonometric substitution.

Functions and Models

Limits and Derivatives

Differentiation Rules

Applications of Differentiation

Integrals

Applications of Integration

Further Applications of Integration

Differential Equations

Parametric Equations and Polar Coordinates

Infinite Sequences and Series

Vectors and the Geometry of Space

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Second-Order Differential Equations

Filters