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Calculus/Further Methods of Integration/Contents

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TODO

Editor's note
The "Further Methods of Integration" section was orphaned in 2007. This is in the process of being merged into the main Calculus book.

Contents

ReviewEdit

Basic Integration RulesEdit

See Calculus/Definite integral.

 

Partial IntegrationEdit

See Calculus/Integration techniques/Integration by Parts.

For two functions   and   of a variable   ,

 

where   is chosen by precedence according to LIPET:

  • Logarithmic
  • Inverse Trigonometric
  • Polynomial
  • Exponential
  • Trigonometric

Improper IntegralsEdit

See Calculus/Improper Integrals.

For any function   of variable   , continuous on the given infinite domain:

 

For any function   of variable   continuous on the given interval, but with an infinite discontinuity at (1)   , (2)   , or some (3)   :