Difference between revisions of "Template:Integrals"
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imported>Nerd271 (One more.) |
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|group2 = Integration methods | |group2 = Integration methods | ||
|list2 = | |list2 = | ||
| + | * [[Integration by substitution|Substitution]] | ||
| + | ** [[Trigonometric substitution|Trigonometric]] | ||
| + | ** [[Euler substitution|Euler]] | ||
| + | ** [[Weierstrass substitution|Weierstrass]] | ||
* [[Integration by parts|By parts]] | * [[Integration by parts|By parts]] | ||
| − | * [[Integration by | + | * [[Integration by partial fractions|Partial fractions]] |
| + | * [[Integration using Euler's formula|Euler's formula]] | ||
* [[Integral of inverse functions|Inverse functions]] | * [[Integral of inverse functions|Inverse functions]] | ||
* [[Order of integration (calculus)|Changing order]] | * [[Order of integration (calculus)|Changing order]] | ||
| − | |||
| − | |||
| − | |||
| − | |||
* [[Integration by reduction formulae|Reduction formulas]] | * [[Integration by reduction formulae|Reduction formulas]] | ||
* [[Integration using parametric derivatives|Parametric derivatives]] | * [[Integration using parametric derivatives|Parametric derivatives]] | ||
| − | |||
* [[Leibniz integral rule#Evaluating definite integrals|Differentiation under the integral sign]] | * [[Leibniz integral rule#Evaluating definite integrals|Differentiation under the integral sign]] | ||
| + | * [[Laplace transform#Evaluating improper integrals|Laplace transform]] | ||
* [[Contour integration]] | * [[Contour integration]] | ||
| + | * [[Laplace's method]] | ||
* [[Numerical integration]] | * [[Numerical integration]] | ||
** [[Simpson's rule]] | ** [[Simpson's rule]] | ||
** [[Trapezoidal rule]] | ** [[Trapezoidal rule]] | ||
| + | * [[Risch algorithm]] | ||
|group3 = [[Improper integral]]s | |group3 = [[Improper integral]]s | ||
| Line 68: | Line 71: | ||
* [[Integration Bee]] | * [[Integration Bee]] | ||
* [[Proof that 22/7 exceeds π]] | * [[Proof that 22/7 exceeds π]] | ||
| + | * Volumes | ||
| + | ** [[Disc integration|Washers]] | ||
| + | ** [[Shell integration|Shells]] | ||
}}<noinclude> | }}<noinclude> | ||
{{Documentation | {{Documentation | ||
Latest revision as of 18:08, 17 February 2021
Initial visibility: currently defaults to expanded
To set this template's initial visibility, the |state= parameter may be used:
|state=collapsed:{{Integrals|state=collapsed}}to show the template collapsed, i.e., hidden apart from its title bar|state=expanded:{{Integrals|state=expanded}}to show the template expanded, i.e., fully visible|state=autocollapse:{{Integrals|state=autocollapse}}
If the |state= parameter in the template on this page is not set, the template's initial visibility is taken from the |default= parameter in the Collapsible option template. For the template on this page, that currently evaluates to expanded.
- See also
- Template:Intmath, to display an inline definite integral (or, double integral, path integral, etc.) without using <math>
| Editors can experiment in this template's sandbox (create | mirror) and testcases (create) pages. Subpages of this template. |