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Calculus II Syllabus and Study Guide: Techniques and Applications of Integration, Transcendental Functions, and Series

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Estimating Area with Finite Sums

  • Percorso guidato
    Estimating the Area Under a Curve with Right Endpoints & Midpoint
    05:59
  • Percorso guidato
    Estimating the Area Under a Curve with Right Endpoints & Midpoint Example 1
    09:17
  • Percorso guidato
    Estimating the Area Under a Curve Using Left Endpoints
    07:59

Riemann Sums

  • Percorso guidato
    Sigma Notation
    04:22
  • Percorso guidato
    Introduction to Riemann Sums
    06:11
  • Percorso guidato
    Sigma Notation Example 1
    03:05

Introduction to Definite Integrals

  • Percorso guidato
    Basic Rules for Definite Integrals
    06:07
  • Percorso guidato
    Definition of the Definite Integral
    05:43

Fundamental Theorem of Calculus

  • Percorso guidato
    Fundamental Theorem of Calculus Part 2
    05:22
  • Percorso guidato
    Fundamental Theorem of Calculus Part 1
    06:11
  • Percorso guidato
    Fundamental Theorem of Calculus Part 1 Example1
    03:25

Substitution

  • Indefinite Integrals Example 1
    04:40
  • Substitution With an Extra Variable
    04:27
  • Definite Integrals
    06:36

Sequences

  • Recursive Formulas
    5:59
  • Arithmetic Sequences - General Formula Example 2
    7:00
  • Geometric Sequences - Recursive Formula
    04:18

Series

  • Percorso guidato
    Intro to Series: Partial Sums
    06:45
  • Percorso guidato
    Intro to Series: Partial Sums Example 1
    04:33
  • Percorso guidato
    Geometric Series
    06:00

Parametric Equations

  • Parameterizing Equations
    08:02
  • Eliminate Parameter: Equations with Trig
    04:11
  • Eliminate Parameter: Equations with Trig Example 3
    04:39

Calculus with Parametric Curves

  • Percorso guidato
    Differentiation of Parametric Curves Example 2
    06:38
  • Percorso guidato
    Higher Order Derivatives of Parametric Curves
    06:40
  • Percorso guidato
    Arc Length of Parametric Curves
    06:29

Polar Coordinates

  • Convert Points from Polar to Rectangular
    06:17
  • Convert Points from Rectangular to Polar Example 1
    2:21
  • Convert Equations from Polar to Rectangular Example 2
    3:03

Calculus in Polar Coordinates

  • Percorso guidato
    Area of Polar Regions Example 2
    12:18
  • Percorso guidato
    Slope of Polar Curves
    09:04
  • Percorso guidato
    Slope of Polar Curves Example 1
    05:58