Exam 7: Additional Topics in Integration

The revenue of Virtual Reality, a video-game arcade, is generated at the rate of dollars. If the revenue is invested t years from now in a business earning interest at the rate of 17% / year compounded continuously, find the accumulated value of this stream of income at the end of 3 years . Round to the nearest dollar. $__________

(Short Answer)

4.9/5

(28)

Question 121

Find the indefinite integral.

(Multiple Choice)

4.9/5

(33)

Question 122

The revenue of Virtual Reality, a video-game arcade, is generated at the rate of dollars. If the revenue is invested t years from now in a business earning interest at the rate of 14% / year compounded continuously, find the accumulated value of this stream of income at the end of 4 years . Round to the nearest dollar.

(Multiple Choice)

4.7/5

(33)

Question 123

Find the indefinite integral.

(Multiple Choice)

4.9/5

(35)

Question 124

Find the indefinite integral.

(Short Answer)

4.8/5

(40)

Question 125

Find the volume of the solid of revolution obtained by revolving the region bounded by the graphs of the given functions about the x-axis. and

(Short Answer)

4.7/5

(34)

Question 126

Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. Find the exact value of the integral.

(Multiple Choice)

4.9/5

(33)

Question 127

Find the area of the region under the graph of from to .

(Short Answer)

4.9/5

(34)

Question 128

Use the table of integrals to find the integral. Hint: First use the substitution u= x+2

(Multiple Choice)

4.8/5

(40)

Question 129

In using Simpson's rule, the number of subintervals n may be chosen to be even.

(True/False)

4.8/5

(30)

Question 130

Use the table of integrals to find the integral. Use C as the constant of integration.

(Short Answer)

4.8/5

(43)

Question 131

Find the area of the region under the given curve over the indicated interval.

(Multiple Choice)

4.8/5

(28)

Question 132

Find the indefinite integral.

(Multiple Choice)

4.8/5

(25)

Question 133

Use the table of integrals to find the integral. Use C as the constant of integration.

(Short Answer)

4.9/5

(36)

Question 134

Find the area of the region under the given curve over the indicated interval.

(Multiple Choice)

4.8/5

(35)

Question 135

Use the table of integrals to find the integral.

(Multiple Choice)

4.8/5

(39)

Question 136

Use the table of integrals to find the integral. Use C as the constant of integration.

(Short Answer)

4.9/5

(36)

Question 137

Evaluate the following improper integral whenever it is convergent.

(Short Answer)

4.9/5

(36)

Question 138

Evaluate the following improper integral whenever it is convergent.

(Short Answer)

4.8/5

(36)

Question 139

By computing the volume of the solid of revolution obtained by revolving the region under the semicircle from to about the -axis, show that the volume of a sphere of radius is cubic units.

(Short Answer)

4.8/5

(30)

Question 140

Showing 121 - 140 of 202

Find the indefinite integral.

Find the indefinite integral.

Find the indefinite integral.

Find the volume of the solid of revolution obtained by revolving the region bounded by the graphs of the given functions about the x-axis. and

Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. Find the exact value of the integral.

Find the area of the region under the graph of from to .

Use the table of integrals to find the integral. Hint: First use the substitution u= x+2

In using Simpson's rule, the number of subintervals n may be chosen to be even.

Use the table of integrals to find the integral. Use C as the constant of integration.

Find the area of the region under the given curve over the indicated interval.

Find the indefinite integral.

Use the table of integrals to find the integral. Use C as the constant of integration.

Find the area of the region under the given curve over the indicated interval.

Use the table of integrals to find the integral.

Use the table of integrals to find the integral. Use C as the constant of integration.

Evaluate the following improper integral whenever it is convergent.

Evaluate the following improper integral whenever it is convergent.

By computing the volume of the solid of revolution obtained by revolving the region under the semicircle from to about the -axis, show that the volume of a sphere of radius is cubic units.

Preliminaries

Functions, Limits, and the Derivative

Differentiation

Applications of the Derivative

Exponential and Logarithmic Functions

Integration

Calculus of Several Variables

Differential Equations

Probability and Calculus

Taylor Polynomials and Infinite Series

Trigonometric Functions

Filters

Exam 7: Additional Topics in Integration

Find the indefinite integral. ​ ​

Find the indefinite integral. ​ ​

Find the indefinite integral. ​

Find the volume of the solid of revolution obtained by revolving the region bounded by the graphs of the given functions about the x-axis. ​ and

Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. Find the exact value of the integral. ​ ​

Find the area of the region under the graph of from to .

Use the table of integrals to find the integral. ​ ​Hint: First use the substitution u= x+2

In using Simpson's rule, the number of subintervals n may be chosen to be even. ​

Use the table of integrals to find the integral. ​ ​ Use C as the constant of integration.

Find the area of the region under the given curve over the indicated interval. ​ ​

Find the indefinite integral. ​ ​

Use the table of integrals to find the integral. ​ ​ Use C as the constant of integration.

Find the area of the region under the given curve over the indicated interval. ​ ​

Use the table of integrals to find the integral. ​ ​

Use the table of integrals to find the integral. ​ ​ Use C as the constant of integration.

Evaluate the following improper integral whenever it is convergent. ​

Evaluate the following improper integral whenever it is convergent. ​

By computing the volume of the solid of revolution obtained by revolving the region under the semicircle ​ ​ from to about the -axis, show that the volume of a sphere of radius is cubic units.

Preliminaries

Functions, Limits, and the Derivative

Differentiation

Applications of the Derivative

Exponential and Logarithmic Functions

Integration

Calculus of Several Variables

Differential Equations

Probability and Calculus

Taylor Polynomials and Infinite Series

Trigonometric Functions

Filters

Find the indefinite integral.

Find the indefinite integral.

Find the indefinite integral.

Find the volume of the solid of revolution obtained by revolving the region bounded by the graphs of the given functions about the x-axis. and

Use the trapezoidal rule and Simpson's rule to approximate the value of the definite integral. Find the exact value of the integral.

Use the table of integrals to find the integral. Hint: First use the substitution u= x+2

In using Simpson's rule, the number of subintervals n may be chosen to be even.

Use the table of integrals to find the integral. Use C as the constant of integration.

Find the area of the region under the given curve over the indicated interval.

Find the indefinite integral.

Use the table of integrals to find the integral. Use C as the constant of integration.

Find the area of the region under the given curve over the indicated interval.

Use the table of integrals to find the integral.

Use the table of integrals to find the integral. Use C as the constant of integration.

Evaluate the following improper integral whenever it is convergent.

Evaluate the following improper integral whenever it is convergent.

By computing the volume of the solid of revolution obtained by revolving the region under the semicircle from to about the -axis, show that the volume of a sphere of radius is cubic units.