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.

Review[edit]

Basic Integration Rules[edit]

See Calculus/Definite integral.

Partial Integration[edit]

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 Integrals[edit]

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)  :