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Module Description


Calculus II - Integration

 

Contents

 

 

This module is aimed at students who are taking their second course in calculus and have taken prior calculus courses that included differentiation.

 

The following is a list of the specific topics this module covers.

  1. Fundamental Theorem of Integral Calculus:
      Definition, sums, limits, area under the curve.

  2. Definite Integrals:
      Simple area problems.

  3. Indefinite Integrals:
      Simple motion problems.

  4. Simple Techniques of Integration:
      u-Substitution method, trigonometric functions, logarithmic functions, exponential functions.

  5. Advanced Techniques of Integration:
      Integration by parts, partial fractions, trigonometric substitution.

  6. Polar Coordinates:
      Polar curves, intersection of polar curves, area under polar curves.

  7. Other Topics:
      Improper integrals, introduction to infinite series, l'Hopital's rule.

  8. Questions: 1,000 practice questions with explained solutions.

 

 

Pre-requisites for this Module

 

This module requires prior knowledge on differentiation such as that contained in the Calculus I module .

 

This module is a pre-requisite for the Calculus III module on multi-variate calculus.

 

 

 

Sample Module.

 

 

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