Calculus II Video Library

Click each drop down to find full length lessons on topics in a traditional Calculus II class. If you find these videos helpful, please comment, like and subscribe on YouTube.

Calculus II Summary Sheets

Area between curves (dx)
Area between curves (dy)
Area between curves (more examples)
Volume: Known Cross Sections
Volume: Disk Method
Volume: Washer Method
Volumes with Cylindrical Shells
Shell or Washer: Which Method Should I Use?
Work: Intro and Spring Examples
Work: Lifting Chains and Ropes
Work: Pumping Liquids
Average Value of a Function and Mean Value Theorem for Integrals
Integration by Parts
Integration by Parts (Harder Examples)
ALGEBRA REVIEW ONLY of Partial Fraction Decomposition
Integrals involving partial fraction decomposition
Trigonometric Integrals
Trigonometric Substitution
Tricky Trig Sub Examples
Improper Integrals
Intro to Arc Length
More Arc Length Examples (Heavy Algebra)
Surface Area of Revolution
Gabriel’s Horn (Painter’s Paradox)
Applications of Physics: Hydrostatic Force
Intro to Differential Equations
Separable Differential Equations
Mixture Problems (Application of Separable Differential Equations)
Intro to Parametric Equations
Calculus with Parametric Equations
Introduction to Polar Coordinates
Graphing Polar Equations
Derivatives of Polar Equations
Area of Polar Curves
Arc Length of Polar Curves
Introduction to Sequences
Introduction to Infinite Series
Test for Divergence/nth term Test
Telescoping Series
Geometric Series
Intro to Taylor Polynomials
Building Taylor Polynomials
Important Taylor Polynomials
Intro to Power Series
Ratio and Root Test
Finding Radius and Interval of Convergence
Integral Test; p-series
Direct Comparison Test
Limit Comparison Test
Alternating Series Test
Alternating Absolute vs Conditional Convergence
Finding Interval of Convergence of a Power Series
Building a Taylor Series
Using Known Taylor Series to create new power series and using known taylor series to evaluate limits and integrals
Representing a Function as a Power Series

Additional Resources

Series Summary Sheet

Area, Volume, Arc Length, Surface Area, Parametric, Polar Summary Sheet

Calculus II Video Library

Area, Volume, and Work

Integration Strategies

Integral Applications

Parametric and Polar

Series

Additional Resources

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