Calculus II
Here you will find 150+ Calculus II videos that cover every main concept you will see in a typical Calculus II class. Scroll through the gallery below which is sorted in order of topics as they are typically addressed throughout the semester.
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Topics Covered
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Introduction to Inverse Trig Functions
Inverse Trig Domain & Range
How to Evaluate Inverse Trig Expressions
Evaluating Inverse Trig Expressions
Solving Equations Using Inverse Trig Functions
Ex 1 - Solving Equations Using Inverse Trig Functions
Inverse Trig Derivatives
Ex 1 - Inverse Trig Derivative
Ex 2 - Inverse Trig Derivatives
Inverse Trig Integrals
Inverse Trig Integral - Example 1
Inverse Trig Integral - Example 2
Inverse Trig Integral - Example 3
Inverse Trig Integral - Example 5
Introduction to Hyperbolic Functions
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- Introduction to Inverse Trig Functions
- Inverse Trig Domain & Range
- How to Evaluate Inverse Trig Expressions
- Evaluating Inverse Trig Expressions
- Solving Equations Using Inverse Trig Functions
- Ex 1 – Solving Equations Using Inverse Trig Functions
- Inverse Trig Derivatives
- Ex 1 – Inverse Trig Derivative
- Ex 2 – Inverse Trig Derivatives
- Inverse Trig Integrals
- Inverse Trig Integral – Example 1
- Inverse Trig Integral – Example 2
- Inverse Trig Integral – Example 3
- Inverse Trig Integral – Example 5
- Introduction to Hyperbolic Functions
- Properties of Hyperbolic Functions
- Hyperbolic Identites
- Hyperbolic Derivatives
- Hyperbolic Derivative – Example 1
- Hyperbolic Relative Extrema – Example 1
- Introduction to Differential Equations
- Categorizing Differential Equations
- Introduction to Slope Fields
- Slope Field – Example 1
- Introduction to Euler’s Method
- Euler’s Method – Example 1
- Efficiency of Euler’s Method
- Differential Equation – Exponential Growth/Decay
- Separation of Variables
- Separable Differential Equations Quiz
- Separable Differential Equations – Example 1
- Introduction to 1st Order Linear Differential Equations
- Linear Differential Equations – Extra Theory
- Linear Differential Equations – Example 1
- Linear Differential Equations – Example 2
- Linear Differential Equations – Find “C”
- Linear Integrating Factor
- Introduction to Integration by Parts
- Integration by Parts – Example 1
- Integration by Parts – Example 2
- Integration by Parts – Example 3
- Trig Integrals Theory
- Trig Integrals Containing sec(x) or tan(x)
- Trig Integral Containing sin(x) or cos(x)
- Trig Integral – Example 1
- Trig Integral – Example 2
- Trig Integral – Example 3
- Trig Substitution Theory – Part 1
- Trig Substitution Theory – Part 2
- Trig Substitution Theory – Part 3
- Trig Substitution – Example 1
- Trig Substitution – Example 2
- Partial Fraction Decomposition for Calculus
- Partial Fraction Decomposition: Linear Factors (Calculus)
- Partial Fraction Decomposition: Quadratic Factors (Calculus)
- Partial Fraction Decomposition: Finding Constants (Calculus)
- Partial Fraction Decomposition: Example 1 (Calculus)
- Partial Fraction Decomposition: Example 2 (Calculus)
- Indeterminate Forms
- L’Hopitals Rule
- L’Hopital Rule – Example 1
- L’Hopital Rule – Example 2
- Improper Integral – Part 1
- Improper Integral – Part 2
- Improper Integral – Example 1
- Improper Integral – Example 2
- Improper Integral – Example 3
- Improper Integrals – Part 3
- Improper Integrals – Example 4
- Improper Integrals – Example 5
- Sequences
- Graphing Sequences Using the TI Calculator
- Partial Sums
- Partial Sums Using the TI Calculator
- Infinite Series
- nth Term Test
- Integral Test
- Geometric Series Test
- Bouncing Ball Problem
- p Series Test
- Direct Comparison Test
- Limit Comparison Test
- Alternating Series Test
- Ratio Test
- Root Test
- Absolute & Conditional Convergence – Infinite Series
- Infinite Series Example 1
- Infinite Series Example 2
- Infinite Series Example 3
- Infinite Series Example 4
- Infinite Series Example 5
- Infinite Series Example 6
- Infinite Series Example 7
- Infinite Series Example 8
- Taylor Polynomials
- Taylor Polynomial Example 1
- Taylor Polynomial Example 2
- Taylor Polynomial Accuracy
- Taylor vs Maclaurin Polynomial
- Power Series Introduction
- Power Series Convergence
- Power Series Convergence Cases
- How to Find the Center of a Power Series
- Power Series Example 1
- Power Series Example 2
- Power Series Properties
- Power Series Operations
- Geometric Power Series
- Geometric Power Series – Example 1
- Geometric Power Series – Example 2
- Taylor Maclaurin Series – Part 1
- Taylor Maclaurin Series – Part 2
- Taylor Series Example 1
- Taylor Series Example 2
- Taylor Series Example 3
- Power Series Derivatives – Example 1
- Taylor Series Example 4
- Conic Section: Introduction
- Conic Sections: Parabolas
- Conic Sections Parabola Example 1
- Conic Sections: Parabola Example 2
- Conic Sections: Ellipse Introduction
- Conic Sections: Ellipse Example 1
- Conic Sections: Ellipse vs Circle
- Conic Sections: Hyperbolas
- Conic Sections: Hyperbola Tip
- Conic Sections Graphing Hyperbolas
- Conic Sections: Hyperbola Example 1
- Conic Sections: Hyperbola Example 2
- Parametric Equations
- Graphing Parametric
- How to Graph Parametric Equations Using a TI Calculator
- Eliminating the Parameter
- Eliminating the Parameter: Example 1
- Parametric Equations: Different Parametrizations
- How to Parametrize a Curve
- Parametrization – Example 1
- Slope of Parametric Equations
- Finding Slope of Parametric Curves Using a TI Calculator
- Arc Length: Parametric Form
- Arc Length in Parametric Form: Example 1
- Polar Coordinates
- Polar Conversions
- Polar Uniqueness
- Graphing Polar Equations by Hand
- Polar Graph – Example 1
- Polar Graph Calculator
- Area of a Polar Region
- Polar Area: Example 1