Tabel integral: Perbedaan antara revisi

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Baris 63:
:<math>\int \, dx = x + C</math>
:<math>\int x^n\,dx = \frac{x^{n+1}}{n+1} + C\qquad\mbox{ jika }n \ne -1</math>
:<math>\int (ax+b)^n\,dx = \frac{(ax+b)^{n+1}}{a(n+1)} + C\qquad\mbox{ jika }n \ne -1</math>
:<math>\int {dx \over x} = \ln{\left|x\right|} + C</math>
:<math>\int {dx \over {a^2+x^2}} = {1 \over a}\arctan {x \over a} + C</math>
Baris 68 ⟶ 69:
=== Fungsi irrasional ===
{{Main|Daftar integral dari fungsi irrasional}}
:<math>\int {dx \over \sqrt{a^2-x^2}} = \sin^{-1}arcsin {x \over a} + C</math>
:<math>\int {-dx \over \sqrt{a^2-x^2}} = \cos^{-1}arccos {x \over a} + C</math>
:<math>\int {dx \over a^2+x^2} = {1 \over a} \tan^{-1}arctan {x \over a} + C</math>
:<math>\int {-dx \over a^2+x^2} = {1 \over a} \cot^{-1}arccot {x \over a} + C</math>
:<math>\int {dx \over x \sqrt{x^2-a^2}} = {1 \over a} \sec^{-1}arcsec {|x| \over a} + C</math>
:<math>\int {-dx \over x \sqrt{x^2-a^2}} = {1 \over a} \csc^{-1}arccsc {|x| \over a} + C</math>
 
=== Fungsi eksponensial ===
Baris 147 ⟶ 148:
* [[Jumlah tak terbatas]]
* [[Daftar limit]]
* [[Daftar deret mathematikalmatematikal]]
* [[Integrasi simbolik]]
{{Lists of integrals}}
Baris 171 ⟶ 172:
* [http://tutorial.math.lamar.edu/pdf/Common_Derivatives_Integrals.pdf Paul's Online Math Notes]
* A. Dieckmann, Table of Integrals (Elliptic Functions, Square Roots, Inverse Tangents and More Exotic Functions): [http://pi.physik.uni-bonn.de/~dieckman/IntegralsIndefinite/IndefInt.html Indefinite Integrals] [http://pi.physik.uni-bonn.de/~dieckman/IntegralsDefinite/DefInt.html Definite Integrals]
* [http://mathmajor.org/calculus-and-analysis/table-of-integrals/ Math Major: A Table of Integrals] {{Webarchive|url=https://archive.istoday/20121030002907/http://mathmajor.org/calculus-and-analysis/table-of-integrals/ |date=2012-10-30 }}
* {{cite web | last1=O'Brien |first1=Francis J. Jr. | url=http://www.docstoc.com/docs/23969109/500-Integrals-of-Elementary-and-Special-Functions |title=500 Integrals}} Derived integrals of exponential and logarithmic functions
* [http://www.apmaths.uwo.ca/RuleBasedMathematics/index.html Rule-based Mathematics] Precisely defined indefinite integration rules covering a wide class of integrands