APEX Calculus - Techniques of Antidifferentiation
Offered By: Sean Fitzpatrick via YouTube
Course Description
Overview
Syllabus
Techniques of Integration: Substitution - 01. Intro.
Techniques of Integration: Substitution - 02. Definite integrals.
Techniques of Integration: Substitution - 03. Examples.
Techniques of Integration: Substitution - 04. Example.
Techniques of Integration: Substitution - 05. Examples.
Techniques of Integration - Substitution: 06. tan(x).
Techniques of Integration - Substitution: 07. sec(x).
Techniques of Integration - Substitution: 08. Trig Examples.
Techniques of Integration - Substitution: 09. Rational with Long Division.
Techniques of Integration - Substitution: 10. using arctan(x).
Techniques of Integration - Substitution: 11. Completing the Square.
Techniques of Integration - Substitution: 12. Requires Two Methods.
Techniques of Integration - Integration by Parts: 01. Introduction.
Techniques of Integration - Integration by Parts: 02. One Step Example.
Techniques of Integration - Integration by Parts: 03. Two Step Example.
Techniques of Integration - Integration by Parts: 04. Exponential times Cosine.
Techniques of Integration - Integration by Parts: 05. ln(x).
Techniques of Integration - Integration by Parts: 06. arctan(x).
Techniques of Integration - Integration by Parts: 07. Substitution, then parts.
Techniques of Integration - Integration by Parts: 08. Definite Integral.
Techniques of Integration - Trigonometric Integrals: 01. Introduction And Example.
Techniques of Integration - Trigonometric Integrals: 02. sin^5(x)cos^8(x).
Techniques of Integration - Trigonometric Integrals: 03. cos^4(x)sin^2(x).
Techniques of Integration - Trigonometric Integrals: 04. Product To Sum Identities.
Techniques of Integration - Trigonometric Integrals: 05. tan^2(x)sec^6(x).
Techniques of Integration - Trigonometric Integrals: 06. tan^3(x)sec^3(x).
Techniques of Integration - Trigonometric Integrals: 07. sec^3(x).
Techniques of Integration - Trigonometric Integrals: 08. A Reduction Formula.
Techniques of Integration - Trigonometric Integrals: 09. tan^6(x).
Techniques of Integration - Trigonometric Substitution: 01.Introduction.
Techniques of Integration - Trigonometric Substitution: 02. Sine Substitution.
Techniques of Integration - Trigonometric Substitution: 03. Tangent Substitution.
Techniques of Integration - Trigonometric Substitution: 04. Secant Substitution.
Techniques of Integration - Trigonometric Substitution: 05. Sine Substitution #2.
Techniques of Integration - Trigonometric Substitution: 06. Completing the Square.
Techniques of Integration - Trigonometric Substitution: 07. Tangent Substitution #2.
Techniques of Integration - Partial Fractions: 01. Introduction.
Techniques of Integration - Partial Fractions: 02. Decomposition Examples.
Techniques of Integration - Partial Fractions: 03. Finding Coefficients (solving systems).
Techniques of Integration - Partial Fractions: 04. Finding Coefficients (Heavyside method).
Techniques of Integration - Partial Fractions: 05. Repeated Linear Factor.
Techniques of Integration - Partial Fractions: 06. Alternate Technique for finding coefficients.
Techniques of Integration - Partial Fractions: 07. Need to Divide First.
Techniques of Integration - Partial Fractions: 08. Quadratic Factor - Setup.
Techniques of Integration - Partial Fractions: 09. Quadratic Factor - Integration.
Hyperbolic Functions: 01. Intro.
Hyperbolic Functions: 02. Graphs And First Properties.
Hyperbolic Functions: 03. Properties.
Hyperbolic Functions: 04. Derivatives And Integrals.
Hyperbolic Functions: 05. sinh(x) Inverse.
Hyperbolic Functions: 06. Hyperbolic Substitutions.
Hyperbolic Functions: 07. More Derivatives And Integrals.
Derivative Applications - L'Hosptital's Rule: 01. Introduction.
Derivative Applications - L'Hosptital's Rule: 02. Examples.
Derivative Applications - L'Hosptital's Rule: 03. Infinity over Infinity.
Derivative Applications - L'Hosptital's Rule: 04. Zero Times Infinity.
Derivative Applications - L'Hosptital's Rule: 05. Infinity Minus Infinity.
Derivative Applications - L'Hosptital's Rule: 06. Indeterminate Powers.
Techniques of Integration - Improper Integrals: 01. Introduction.
Techniques of Integration - Improper Integrals: 02. Examples.
Techniques of Integration - Improper Integrals: 03. With Integration By Parts.
Techniques of Integration - Improper Integrals: 04. Vertical Asymtotes.
Techniques of Integration - Improper Integrals: 05. The p-Test.
Techniques of Integration - Improper Integrals: 06. Direct Comparison.
Techniques of Integration - Improper Integrals: 07. Limit Comparison.
Taught by
Sean Fitzpatrick
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