Question 1

Find the indefinite integral by making the substitution   .

Accepted Answer

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

Question 2

Find the indefinite integral by making the substitution   .

Accepted Answer

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

Question 3

Evaluate   .

Accepted Answer

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

Question 4

Find the smallest n such that the error estimate from the error formula in the approximation of the definite integral   is less than 0.00001 using the Trapezoidal Rule. ​

Accepted Answer

A)  282 
B)  66 
C)  749 
D)  163 
E)  24 
A)  282 
B)  66 
C)  749 
D)  163 
E)  24

Question 5

Find the indefinite integral.

Accepted Answer

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

Question 6

Find   .

Accepted Answer

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

Question 7

Use integration tables to find   . ​

Accepted Answer

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

Question 8

Determine whether the improper integral   diverges or converges. Evaluate the integral if it converges. ​

Accepted Answer

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

Question 9

Use partial fractions to find the integral   .

Accepted Answer

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

Question 10

Find the indefinite integral   .

Accepted Answer

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

Find the indefinite integral by making the substitution .

Find the indefinite integral by making the substitution .

Evaluate .

Find the smallest n such that the error estimate from the error formula in the approximation of the definite integral is less than 0.00001 using the Trapezoidal Rule.

Find the indefinite integral.

Find .

Use integration tables to find .

Determine whether the improper integral diverges or converges. Evaluate the integral if it converges.

Use partial fractions to find the integral $Use partial fractions to find the integral .$ .

Find the indefinite integral .

Preparation for Calculus

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Anal

Filters

Exam 8: Integration Techniques and Improper Integrals

Find the indefinite integral by making the substitution .

Find the indefinite integral by making the substitution .

Evaluate .

Find the smallest n such that the error estimate from the error formula in the approximation of the definite integral is less than 0.00001 using the Trapezoidal Rule. ​

Find the indefinite integral.

Find .

Use integration tables to find . ​

Determine whether the improper integral diverges or converges. Evaluate the integral if it converges. ​

Use partial fractions to find the integral .

Find the indefinite integral .

Preparation for Calculus

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Differential Equations

Applications of Integration

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Anal

Filters

Find the smallest n such that the error estimate from the error formula in the approximation of the definite integral is less than 0.00001 using the Trapezoidal Rule.

Use integration tables to find .

Determine whether the improper integral diverges or converges. Evaluate the integral if it converges.

Use partial fractions to find the integral $Use partial fractions to find the integral .$ .