Question 1

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 2

Find the indefinite integral   . ​

Accepted Answer

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

Question 3

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 4

Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. ​   ​

Accepted Answer

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

Question 5

Find the indefinite integral   . ​

Accepted Answer

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

Question 6

Evaluate the integral.   given,   , ​   ,   ,

Accepted Answer

A) 180 
B) -180 
C) -1,352 
D) -24 
E) -10,170 
A) 180 
B) -180 
C) -1,352 
D) -24 
E) -10,170

Question 7

​If   is an even function and   is an odd function where   and   ,find the value of   . ​

Accepted Answer

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

Question 8

Find the indefinite integral. ​
​   ​
​

Accepted Answer

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

Question 9

Find the indefinite integral of the following function and check the result by differentiation. ​   ​

Accepted Answer

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

Question 10

Determine the area of the given region. ​   ​   ​

Accepted Answer

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

Question 11

Find   . ​

Accepted Answer

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

Question 12

Find the limit of   as   . ​   ​

Accepted Answer

A)    
B) 5 
C) unbounded 
D)    
E) 1 
A)    
B) 5 
C) unbounded 
D)    
E) 1

Question 13

Use integration to find the particular solution of the differential equation   which passes through the point   . ​

Accepted Answer

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

Question 14

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 15

Find the indefinite integral. ​   ​

Accepted Answer

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

Question 16

Evaluate the definite integral   . ​

Accepted Answer

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

Question 17

The height above the ground of an object thrown upward from a point   feet above the ground with an initial velocity of   feet per second is given by the function   .A balloon,rising vertically with a velocity of 24 feet per second,releases a sandbag at the instant it is 20 feet above the ground.How many seconds after its release will the bag strike the ground? Round your answer to three decimal places. ​

Accepted Answer

A) 1.541 seconds 
B) 1.550 seconds 
C) 1.878 seconds 
D) 0.596 seconds 
E) 2.096 seconds 
A) 1.541 seconds 
B) 1.550 seconds 
C) 1.878 seconds 
D) 0.596 seconds 
E) 2.096 seconds

Question 18

Find   . ​

Accepted Answer

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

Question 19

Evaluate the following definite integral by the limit definition. ​   ​

Accepted Answer

A) -6,335 
B)    
C) -6,338 
D) -1,575 
E)    
A) -6,335 
B)    
C) -6,338 
D) -1,575 
E)

Question 20

Find the indefinite integral   . ​

Accepted Answer

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

Find the indefinite integral.

Find the indefinite integral .

Find the indefinite integral.

Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral.

Find the indefinite integral .

Evaluate the integral. given, , , ,

If is an even function and is an odd function where and ,find the value of .

Find the indefinite integral.

Find the indefinite integral of the following function and check the result by differentiation.

Determine the area of the given region.

Find .

Find the limit of as .

Use integration to find the particular solution of the differential equation which passes through the point .

Find the indefinite integral.

Find the indefinite integral.

Evaluate the definite integral .

Find .

Evaluate the following definite integral by the limit definition.

Find the indefinite integral .

Preparation for Calculus

Limits and Their Properties

Differentiation

Applications of Differentiation

Differential Equations

Applications of Integration

Integration Techniques, L'Hôpital's Rule, and Improper Integrals

Infinite Series

Parametric Equations, Polar Coordinates, and Vectors

Mechanical Ventilation and Sedation: Assessment, Medications, and Complications

Filters

Exam 5: Integration

Find the indefinite integral. ​ ​

Find the indefinite integral . ​

Find the indefinite integral. ​ ​

Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral. ​ ​

Find the indefinite integral . ​

Evaluate the integral. given, , ​ , ,

​If is an even function and is an odd function where and ,find the value of . ​

Find the indefinite integral. ​ ​ ​ ​

Find the indefinite integral of the following function and check the result by differentiation. ​ ​

Determine the area of the given region. ​ ​ ​

Find . ​

Find the limit of as . ​ ​

Use integration to find the particular solution of the differential equation which passes through the point . ​

Find the indefinite integral. ​ ​

Find the indefinite integral. ​ ​

Evaluate the definite integral . ​

Find . ​

Evaluate the following definite integral by the limit definition. ​ ​

Find the indefinite integral . ​

Preparation for Calculus

Limits and Their Properties

Differentiation

Applications of Differentiation

Differential Equations

Applications of Integration

Integration Techniques, L'Hôpital's Rule, and Improper Integrals

Infinite Series

Parametric Equations, Polar Coordinates, and Vectors

Mechanical Ventilation and Sedation: Assessment, Medications, and Complications

Filters

Find the indefinite integral.

Find the indefinite integral .

Find the indefinite integral.

Sketch the region whose area is given by the definite integral and then use a geometric formula to evaluate the integral.

Find the indefinite integral .

Evaluate the integral. given, , , ,

If is an even function and is an odd function where and ,find the value of .

Find the indefinite integral.

Find the indefinite integral of the following function and check the result by differentiation.

Determine the area of the given region.

Find .

Find the limit of as .

Use integration to find the particular solution of the differential equation which passes through the point .

Find the indefinite integral.

Find the indefinite integral.

Evaluate the definite integral .

Find .

Evaluate the following definite integral by the limit definition.

Find the indefinite integral .