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 Written Introduction Video Introduction Worked Examples (5.4)Indefinite Integrals & Net Change Theorem Indefinite Integrals (Paul) Definite Integrals (Paul) Indefinite Integrals (Incognito) Definite Integrals (Incognito) The Indefinite Integral (Khan) The Power Rule (Khan) Integral of 1/x (Khan) Integral of sin(x), cos(x), e^x (Khan) The Definite Integral (Khan) Net Change via Integration (Khan) Indefinite Integral (Khan) Definite Integral (Khan) Indefinite Integrals (PatrickJMT) Definite Integral (PatrickJMT) Additional Examples (Dahal) Self-Quiz Hints Key (5.5)The Substitution Rule Substitution Rule (Paul) Substitution Rule (Incognito) The Substitution Rule (Khan) u-Sub with Definite Integrals (Khan) u-Sub Definite Integrals (PatrickJMT) The Motivation for u-sub (BPRP) u-Sub Indefinite Integral (Khan) u-Sub Indefinite Integral (Khan) u-Sub Indefinite Integral (Khan) u-Sub Indefinite Integral (PatrickJMT) u-Sub Indefinite Integral (PatrickJMT) u-Sub Definite Integral (PatrickJMT) Additional Examples (Dahal) Self-Quiz Hints Key (6.1)Area Between Two Curves Area Between Curves (Paul) Area Between Curves (Incognito) Area Between Two Curves (Khan) Area Between Two Curves (Khan) Two Curves w/ x (PatrickJMT) Two Curves w/ y (PatrickJMT) Area Between Two Curves (Khan) Area Between Three Curves (Khan) Two Curves w/ y (PatrickJMT) Three Curves (PatrickJMT) Additional Examples (Dahal) Self-Quiz Hints Key (6.2)Volumes by Disks & Washers Volume w/ Disks & Washers (Paul) Solids of Revolution (Incognito) Disk Method Horiz Axis (Khan) Disk Method Vert Axis (Khan) Washer Method Horiz Axis (Khan) Disk & Washer Methods (PatrickJMT) Disk Method (BPRP) Disk w/ Horiz Axis (Khan) Washer w/ Horiz Axis (Khan) Washer w/ Vert Axis (Khan) Washer w/ Horiz Axis (PatrickJMT) Washer w/ Horiz Axis (PatrickJMT) Washer w/ Vert Axis (PatrickJMT) Additional Examples (Dahal) Self-Quiz Hints Key (6.3)Volumes by Cylindrical Shells Volume w/ Shells (Paul) Solids of Revolution (Incognito) Shell w/ Vert Axis (Khan) Shell w/ Horiz Axis (Khan) Two Functions w/ Vert Axis (Khan) Two Functions w/ Horiz Axis (Khan) Shell Method (PatrickJMT) Shell Integral (Khan) Shell Integral (Khan) Shell Integral (Khan) Shell Method (PatrickJMT) Additional Examples (Dahal) Self-Quiz Hints Key (6.5)Average Value of a Function Ave Value of Function (Paul) Ave Value of Function (Incognito) Ave Value of Function (Khan) Ave Value of Function (PatrickJMT) Ave Value Example (Khan) Self-Quiz Hints Key (7.1)Integration by Parts Integration by Parts (Paul) Integration by Parts (Incognito) Integration by Parts (Khan) Integration by Parts (BPRP) Integration by Parts (Khan) IBP Applied Twice (Khan) Integration by Parts (Khan) Loopy IBP Example (Khan) Definite Integral w/IBP (PatrickJMT) Additional Examples (Dahal) Self-Quiz Hints Key (7.2)Trigonometric Integrals Trigonometric Integrals (Paul) Trigonometric Integrals (Incognito) Intro to Trig Integrals (BPRP) Sin & Cos - Odd Pwr (PatrickJMT) Sin & Cos - Even Pwrs (PatrickJMT) Sec & Tan - Even Sec (PatrickJMT) Sec & Tan - Odd Tan (PatrickJMT) Definite Integral w/Trig (BPRP) Additional Examples (Dahal) Self-Quiz Hints Key

 (7.3)Trigonometric Substitution Trig Substitution (Paul) Trig Substitution (Incognito) Trig Substitution (Khan) Indefinite Integral (Khan) Indefinite Integral - Part 1 (Khan) Indefinite Integral - Part 2 (Khan) Indefinite Integral (PatrickJMT) Definite Integral (PatrickJMT) Additional Examples (Dahal) Self-Quiz Key (7.4)Integration of Rational Functions by Partial Fractions Partial Fractions (Paul) Partial Fractions (Incognito) P.F.D. Linear Factors (Dr. Burger) P.F.D. Quadratic Factor (Dr. Burger) P.F.D. Repeated Factor (Dr. Burger) Linear Factors (Khan) Repeated Factors (Khan) Long Division First Step (Khan) Quadratic Factor (PatrickJMT) Multiple Examples (PatrickJMT) Additional Examples (Dahal) Self-Quiz Key (7.5)Strategy for Integration Integration Strategy (PatrickJMT) Strategy Discussion (PatrickJMT) Many Examples (BPRP) (7.8)Improper Integrals Improper Integrals (Paul) Improper Integrals (Incognito) Improper Integrals (Khan) Improper Integrals (PatrickJMT) Divergent Example (Khan) Both Bounds Infinite (Khan) Infinite Discontinuity (PatrickJMT) Subtle Infinite Discont. (PatrickJMT) Limit w/L'Hopital (PatrickJMT) Additional Examples (Dahal) Self-Quiz Key (8.1)Arc Length Arc Length (Paul) Arc Length (Incognito) Arc Length (Khan) Arc Length (Khan) Arc Length (Khan) Arc Length (PatrickJMT) Additional Examples (Dahal) Self-Quiz Key (9.3)Separable Equations Separable Equations (Paul) Separable Equations (Incognito) Separable Equations (Khan) Multiple Examples (Khan) Separable Equation (PatrickJMT) Separable Equation (PatrickJMT) With Initial Condition (PatrickJMT) With Initial Condition (PatrickJMT) Additional Examples (Dahal) Self-Quiz Key (11.1)Sequences Sequences (Paul) Sequences (PatrickJMT) Defining Sequences (Khan) Convergent Sequence (Khan) Limit of a Sequence (PatrickJMT) More Sequence Limits (PatrickJMT) Recursive Definitions (PatrickJMT) Additional Examples (Dahal) Self-Quiz Key