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Professor Heather Pierce

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Module 1: Integration Rules


Fundamental Theorem of Calculus

Video: Fundamental Theorem of Calculus - Part I
Video: Fundamental Theorem of Calculus - Part II


Properties of Integrals

Video: Even and Odd Functions
Video: Average Value of a Function


Substitution

Video: Substitution Rule for Indefinite Integrals
Video: Substitution Rule for Definite Integrals


Basic Approaches

Video: Basic Approaches to Integration


Integration by Parts

Video: Integration by Parts


Trigonometric Integrals

Video: Powers of sin(x) and cos(x)
Video: Powers of tan(x) and sec(x)


Trigonometric Substitution

Video: Sine Substitution
Video: Tangent Substitution
Video: Secant Substitution


Partial Fractions

Video: Partial Fractions with Simple Linear Factors
Video: Partial Fractions with Repeated Linear Factors
Video: Partial Fractions with Irreducible Quadratic Factors


Improper Integrals

Video: Improper Integrals on Infinite Intervals
Video: Improper Integrals with Unbounded Integrands