Question 1

Find the indefinite integral.

Accepted Answer

A)          + 5x + C 
B)    
C)          + 5x + C 
D)    
A)          + 5x + C 
B)    
C)          + 5x + C 
D)

Question 2

Show that   by interpreting the definite integral geometrically.

Accepted Answer

A sketch of the area between t

Question 3

Find the indefinite integral.

Accepted Answer

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

Question 4

Evaluate the limit by interpreting it as the limit of a Riemann sum of a function on the interval [a, b].

Accepted Answer

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

Question 5

Evaluate the definite integral.

Accepted Answer

The answer of Evaluate the definite integral.  ...

Question 6

If   and   , find   .

Accepted Answer

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

Question 7

The acceleration function of a body moving along a coordinate line is   .
Find its velocity and position functions at any time t if it is located at the origin and has an initial velocity of 4 m/sec.

Accepted Answer

The answer of The acceleration function of a body moving...

Question 8

Evaluate   .

Accepted Answer

The answer of Evaluate   ....

Question 9

Evaluate the integral.   The choices are rounded to the nearest hundredth.

Accepted Answer

A) 109.00 
B)    
C) 102.33 
D) 123.67 
E) 209.00 
A) 109.00 
B)    
C) 102.33 
D) 123.67 
E) 209.00

Question 10

Estimate the area from 0 to 5 under the graph of   using five approximating rectangles and right endpoints.

Accepted Answer

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

Question 11

Evaluate the integral by making the given substitution.

Accepted Answer

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

Question 12

Find the area of the region that lies beneath the given curve.   ,

Accepted Answer

A) 1.500 
B) 1.450 
C) -0.500 
D) - 1.500 
E) 0.500 
A) 1.500 
B) 1.450 
C) -0.500 
D) - 1.500 
E) 0.500

Question 13

Evaluate the integral if it exists.

Accepted Answer

A)    
B)    
C) 0 
D)    
E) none of these 
A)    
B)    
C) 0 
D)    
E) none of these

Question 14

Evaluate the integral.

Accepted Answer

The answer of Evaluate the integral.  ...

Question 15

Find the integral using the indicated substitution.   ,

Accepted Answer

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

Question 16

Evaluate the indefinite integral.

Accepted Answer

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

Question 17

Evaluate the indefinite integral.

Accepted Answer

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

Question 18

Evaluate the integral.

Accepted Answer

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

Question 19

Use the Midpoint Rule with n = 5 to approximate the integral.   Round your answer to three decimal places.

Accepted Answer

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

Question 20

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

Accepted Answer

A)    
B)    
C) none of these 
D)    
E)    
A)    
B)    
C) none of these 
D)    
E)

Find the indefinite integral.

Show that by interpreting the definite integral geometrically.

Find the indefinite integral.

Evaluate the limit by interpreting it as the limit of a Riemann sum of a function on the interval [a, b].

Evaluate the definite integral.

If and , find .

The acceleration function of a body moving along a coordinate line is . Find its velocity and position functions at any time t if it is located at the origin and has an initial velocity of 4 m/sec.

Evaluate .

Evaluate the integral. The choices are rounded to the nearest hundredth.

Estimate the area from 0 to 5 under the graph of using five approximating rectangles and right endpoints.

Evaluate the integral by making the given substitution.

Find the area of the region that lies beneath the given curve. ,

Evaluate the integral if it exists.

Evaluate the integral.

Find the integral using the indicated substitution. ,

Evaluate the indefinite integral.

Evaluate the indefinite integral.

Evaluate the integral.

Use the Midpoint Rule with n = 5 to approximate the integral. Round your answer to three decimal places.

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

Functions and Limits

Derivatives

Applications of Differentiation

Applications of Integration

Inverse Functions

Techniques 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

Final Exam

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Exam 4: Integrals

Find the indefinite integral.

Show that by interpreting the definite integral geometrically.

Find the indefinite integral.

Evaluate the limit by interpreting it as the limit of a Riemann sum of a function on the interval [a, b].

Evaluate the definite integral.

If and , find .

The acceleration function of a body moving along a coordinate line is . Find its velocity and position functions at any time t if it is located at the origin and has an initial velocity of 4 m/sec.

Evaluate .

Evaluate the integral. The choices are rounded to the nearest hundredth.

Estimate the area from 0 to 5 under the graph of using five approximating rectangles and right endpoints.

Evaluate the integral by making the given substitution.

Find the area of the region that lies beneath the given curve. ,

Evaluate the integral if it exists.

Evaluate the integral.

Find the integral using the indicated substitution. ,

Evaluate the indefinite integral.

Evaluate the indefinite integral.

Evaluate the integral.

Use the Midpoint Rule with n = 5 to approximate the integral. Round your answer to three decimal places.

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

Functions and Limits

Derivatives

Applications of Differentiation

Applications of Integration

Inverse Functions

Techniques 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

Final Exam

Filters