Calculus/Further Methods of Integration/Contents

From Wikibooks, open books for an open world
Jump to navigation Jump to search
TODO
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 | edit source]

Basic Integration Rules[edit | edit source]

See Calculus/Definite integral.

Partial Integration[edit | edit source]

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 | edit source]

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)  :