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Calculus II: Integration and Its Applications – Study Notes (Weeks 1–4)

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Indefinite Integrals

  • Guided course
    Additional Rules for Indefinite Integrals
    05:56
  • Guided course
    Power Rule for Indefinite Integrals
    04:04
  • Guided course
    Introduction to Indefinite Integrals
    05:04

Substitution

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

Area Between Curves

  • Finding Area Between Curves on a Given Interval
    05:23
  • Finding Area When Bounds Are Not Given
    05:06
  • Finding Area Between Curves that Cross on the Interval Example 2
    06:21

Work

  • Work Done On A Spring (Hooke's Law) Example 1
    06:02
  • Guided course
    Pumping Liquids Example 5
    11:50
  • Guided course
    Introduction To Work
    06:22

Integration by Parts

  • Guided course
    Integration by Parts for Definite Integrals Example 7
    08:12
  • Guided course
    Integration by Parts for Definite Integrals
    06:18
  • Guided course
    Repeated Integration by Parts Example 3
    08:03

Integrals of Exponential Functions

  • Integrals of General Exponential Functions
    05:11
  • Integrals of General Exponential Functions Example 1
    03:57
  • Integrals of Natural Exponential Functions (e^x) Example 3
    05:36

Integrals Involving Logarithmic Functions

  • Integrals Resulting in Natural Logs Example 2
    01:53
  • Integrals Involving Natural Logs: Substitution Example 3
    01:54
  • Integrals Resulting in Natural Logs
    03:48