#### CALCULUS VOLUME 2 COURSE

This comprehensive course contains 7 sections with 50 self-grading lessons, including final assessments. The first section is available to try for free.

The Trial Blending Space is for evaluation purposes only.

- CALCULUS VOLUME 2 COURSECALCULUS VOLUME 2 COURSE
This comprehensive course contains 7 sections with 50 self-grading lessons, including final assessments. The first section is available to try for free.

This Trial Site is for evaluation purposes and for trying out in your LMS only. User names will be visible to everyone using it, so don't use this trial site with real students or for actual assignments! To view each lesson, POP-UPs MUST BE ENABLED in your browser. - IntegrationIntegration
- Use sigma (summation) notation to calculate sums and powers of integers.
- Use the sum of rectangular areas to approximate the area under a curve.
- Use Riemann sums to approximate area.

- State the definition of the definite integral.
- Explain the terms integrand, limits of integration, and variable of integration.
- Explain when a function is integrable.
- Describe the relationship between the definite integral and net area.
- Use geometry and the properties of definite integrals to evaluate them.
- Calculate the average value of a function.

1.3. The Fundamental Theorem of Calculus

1.4. Integration Formulas and the Net Change Theorem

1.5. Substitution

1.6. Integrals Involving Exponential and Logarithmic Functions

1.7. Integrals Resulting in Inverse Trigonometric Functions

- Integration - Final Assessment
#### Integration - Final Assessment

This is the final assessment for

. (Available when you subscribe.)*Integration* - TEACHERS: Subscribe to the FULL COURSE today!This topic
#### TEACHERS: Subscribe to the FULL COURSE today!

The full course includes all 50 lessons, including 7 Final Assessments with Instructor Answer Keys.

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Subscribe today for just $199 per year.*Teacher License*.**There is no cost to students.**Institutions can purchase access to our courses through our BLENDING EDUCATION Microlearning Library App. Learn more. - Applications of Integration
#### Applications of Integration

2.1. Areas between Curves

2.2. Determining Volumes by Slicing

2.3. Volumes of Revolution: Cylindrical Shells

2.4. Arc Length of a Curve and Surface Area

2.5. Physical Applications

2.6. Moments and Centers of Mass

2.7. Integrals, Exponential Functions, and Logarithms

2.8. Exponential Growth and Decay

2.9. Calculus of the Hyperbolic Functions

Final Assessment - Techniques of Integration
#### Techniques of Integration

3.1. Integration by Parts

3.2. Trigonometric Integrals

3.3. Trigonometric Substitution

3.4. Partial Fractions

3.5. Other Strategies for Integration

3.6. Numerical Integration

3.7. Improper Integrals

Final Assessment - Introduction to Differential Equations
#### Introduction to Differential Equations

4.1. Basics of Differential Equations

4.2. Direction Fields and Numerical Methods

4.3. Separable Equations

4.4. The Logistic Equation

4.5. First-order Linear Equations

Final Assessment - Sequences and Series
#### Sequences and Series

5.1. Sequences

5.2. Infinite Series

5.3. The Divergence and Integral Tests

5.4. Comparison Tests

5.5. Alternating Series

5.6. Ratio and Root Tests

Final Assessment - Power Series
#### Power Series

6.1. Power Series and Functions

6.2. Properties of Power Series

6.3. Taylor and Maclaurin Series

6.4. Working with Taylor Series

Final Assessment - Parametric Equations and Polar Coordinates
#### Parametric Equations and Polar Coordinates

7.1. Parametric Equations

7.2. Calculus of Parametric Curves

7.3. Polar Coordinates

7.4. Area and Arc Length in Polar Coordinates

7.5. Conic Sections

Final Assessment - TEACHERS: Subscribe for just $199 per year
#### TEACHERS: Subscribe for just $199 per year

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