Question 1

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 2

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 3

Find the average value of the function   in the interval   .

Accepted Answer

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

Question 4

Find the integral.

Accepted Answer

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

Question 5

Evaluate the integral.

Accepted Answer

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

Question 6

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 7

A water storage tank has the shape of a cylinder with diameter 10 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 9 ft, what percentage of the total capacity is being used? Round the answer to the nearest tenth.

Accepted Answer

The answer of A water storage tank has the shape...

Question 8

Evaluate the integral.

Accepted Answer

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

Question 9

Find the integral.

Accepted Answer

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

Question 10

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 11

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 12

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 13

Use long division to evaluate the integral.

Accepted Answer

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

Question 14

Find the volume obtained by rotating the region bounded by the given curves about   .

Accepted Answer

The answer of Find the volume obtained by rotating the...

Question 15

Evaluate the integral using the indicated trigonometric substitution.

Accepted Answer

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

Question 16

Evaluate the integral using an appropriate trigonometric substitution.

Accepted Answer

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

Question 17

Use a table of integrals to evaluate the integral.

Accepted Answer

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

Question 18

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 19

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

Accepted Answer

A) 3 
B) Diverges 
C) 6 
D) 0 
A) 3 
B) Diverges 
C) 6 
D) 0

Question 20

Evaluate the integral using an appropriate trigonometric substitution.

Accepted Answer

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

Evaluate the integral.

Evaluate the integral.

Find the average value of the function in the interval .

Find the integral.

Evaluate the integral.

Evaluate the integral.

A water storage tank has the shape of a cylinder with diameter 10 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 9 ft, what percentage of the total capacity is being used? Round the answer to the nearest tenth.

Evaluate the integral.

Find the integral.

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.

Use long division to evaluate the integral.

Find the volume obtained by rotating the region bounded by the given curves about .

Evaluate the integral using the indicated trigonometric substitution.

Evaluate the integral using an appropriate trigonometric substitution.

Use a table of integrals to evaluate the integral.

Evaluate the integral.

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

Evaluate the integral using an appropriate trigonometric substitution.

Functions and Limits

Derivatives

Applications of Differentiation

Integrals

Applications of Integration

Inverse Functions

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

Final Exam

Filters

Exam 7: Techniques of Integration

Evaluate the integral.

Evaluate the integral.

Find the average value of the function in the interval .

Find the integral.

Evaluate the integral.

Evaluate the integral.

A water storage tank has the shape of a cylinder with diameter 10 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 9 ft, what percentage of the total capacity is being used? Round the answer to the nearest tenth.

Evaluate the integral.

Find the integral.

Evaluate the integral.

Evaluate the integral.

Evaluate the integral.

Use long division to evaluate the integral.

Find the volume obtained by rotating the region bounded by the given curves about .

Evaluate the integral using the indicated trigonometric substitution.

Evaluate the integral using an appropriate trigonometric substitution.

Use a table of integrals to evaluate the integral.

Evaluate the integral.

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

Evaluate the integral using an appropriate trigonometric substitution.

Functions and Limits

Derivatives

Applications of Differentiation

Integrals

Applications of Integration

Inverse Functions

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

Final Exam

Filters