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Calculus II: Integral Calculus

Educator Edition

ContributorUnion College
CourseMTH 112, Calculus 2: Integral Calculus. Integral calculus of functions of a single variable, the fundamental theorem, formal integration and applications, calculus of logarithmic, exponential, and inverse trigonometric functions.
TextbookCalculus: Early Transcendentals, 10th Edition: Howard Anton, Irl Bivens,‎ Stephen Davis, or a textbook of your choice.

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Audience

Intended for students who have passed a Differential Calculus course.

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Syllabus

  1. Differentiation Review
  2. Approximating Definite Integrals
  3. Integration by Substitution
  4. Summation
  5. The Definite Integral
  6. The Limit Definition of the Definite Integral
  7. Antiderivatives
  8. Applying the Fundamental Theorem of Calculus
  9. Trigonometric Integrals
  10. Integration by Parts
  11. Trigonometric Substitution
  12. Partial Fractions
  13. Techniques of Integration

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