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 u and dv of a variable x,

where u is chosen by precedence according to LIPET:

  • Logarithmic
  • Inverse Trigonometric
  • Polynomial
  • Exponential
  • Trigonometric

Improper Integrals[edit]

See Calculus/Improper Integrals.

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

=

=

=

For any function f of variable x continuous on the given interval, but with an infinite discontinuity at (1) a, (2) b, or some (3) c in [a,b]:

= (1)

= (2)

= (3)