Exam 8: Integration Techniques and Improper Integrals

Find the smallest n such that the error estimate in the approximation of the definite integral is less than 0.00001 using the Trapezoidal Rule. Use a graphing utility to estimate the maximum of the absolute value of the second derivative.

(Multiple Choice)

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Question 21

Use partial fractions to find $Use partial fractions to find .$ .

(Multiple Choice)

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Question 22

Solve .

(Multiple Choice)

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Question 23

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

(Multiple Choice)

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Question 24

Find the indefinite integral.

(Multiple Choice)

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Question 25

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

(Multiple Choice)

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Question 26

Find the indefinite integral.

(Multiple Choice)

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Question 27

Find the area between the x-axis and the graph of the function .

(Multiple Choice)

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Question 28

Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using 20 subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral.

(Multiple Choice)

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Question 29

Find .

(Multiple Choice)

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Question 30

Find the indefinite integral.

(Multiple Choice)

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Question 31

Find the indefinite integral.

(Multiple Choice)

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Question 32

Find the smallest n such that the error estimate in the approximation of the definite integral is less than 0.00001 using Simpson's Rule.

(Multiple Choice)

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Question 33

Find the indefinite integral.

(Multiple Choice)

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Question 34

Find the smallest n such that the error estimate in the approximation of the definite integral is less than 0.00001 using Simpson's Rule.

(Multiple Choice)

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Question 35

A hydraulic cylinder on an industrial machine pushes a steel block a distance of x feet where the variable force required is pounds. Find the work done in pushing the block the full 4 feet through the machine. Round your answer to three decimal places.

(Multiple Choice)

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Question 36

Find the indefinite integral.

(Multiple Choice)

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Question 37

Find the indefinite integral.

(Multiple Choice)

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Question 38

Use the error formula to estimate the error in approximating the integral with using Simpson's Rule. Round your answer to six decimal places.

(Multiple Choice)

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Question 39

Determine whether the improper integral diverges or converges.

(Multiple Choice)

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Question 40

Showing 21 - 40 of 130

Find the smallest n such that the error estimate in the approximation of the definite integral is less than 0.00001 using the Trapezoidal Rule. Use a graphing utility to estimate the maximum of the absolute value of the second derivative.

Use partial fractions to find $Use partial fractions to find .$ .

Solve .

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

Find the indefinite integral.

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

Find the indefinite integral.

Find the area between the x-axis and the graph of the function .

Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using 20 subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral.

Find .

Find the indefinite integral.

Find the indefinite integral.

Find the smallest n such that the error estimate in the approximation of the definite integral is less than 0.00001 using Simpson's Rule.

Find the indefinite integral.

Find the smallest n such that the error estimate in the approximation of the definite integral is less than 0.00001 using Simpson's Rule.

A hydraulic cylinder on an industrial machine pushes a steel block a distance of x feet where the variable force required is pounds. Find the work done in pushing the block the full 4 feet through the machine. Round your answer to three decimal places.

Find the indefinite integral.

Find the indefinite integral.

Use the error formula to estimate the error in approximating the integral with using Simpson's Rule. Round your answer to six decimal places.

Determine whether the improper integral diverges or converges.

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 smallest n such that the error estimate in the approximation of the definite integral is less than 0.00001 using the Trapezoidal Rule. Use a graphing utility to estimate the maximum of the absolute value of the second derivative. ​

Use partial fractions to find .

Solve .

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

Find the indefinite integral.

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

Find the indefinite integral.

Find the area between the x-axis and the graph of the function .

Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using 20 subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. ​ ​

Find .

Find the indefinite integral.

Find the indefinite integral.

Find the smallest n such that the error estimate in the approximation of the definite integral is less than 0.00001 using Simpson's Rule. ​

Find the indefinite integral.

Find the smallest n such that the error estimate in the approximation of the definite integral is less than 0.00001 using Simpson's Rule. ​

A hydraulic cylinder on an industrial machine pushes a steel block a distance of x feet where the variable force required is pounds. Find the work done in pushing the block the full 4 feet through the machine. Round your answer to three decimal places. ​

Find the indefinite integral.

Find the indefinite integral. ​ ​

Use the error formula to estimate the error in approximating the integral with using Simpson's Rule. Round your answer to six decimal places. ​

Determine whether the improper integral diverges or converges.

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 in the approximation of the definite integral is less than 0.00001 using the Trapezoidal Rule. Use a graphing utility to estimate the maximum of the absolute value of the second derivative.

Use partial fractions to find $Use partial fractions to find .$ .

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

Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using 20 subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral.

Find the smallest n such that the error estimate in the approximation of the definite integral is less than 0.00001 using Simpson's Rule.

Find the smallest n such that the error estimate in the approximation of the definite integral is less than 0.00001 using Simpson's Rule.

A hydraulic cylinder on an industrial machine pushes a steel block a distance of x feet where the variable force required is pounds. Find the work done in pushing the block the full 4 feet through the machine. Round your answer to three decimal places.

Find the indefinite integral.

Use the error formula to estimate the error in approximating the integral with using Simpson's Rule. Round your answer to six decimal places.