Tabel integral: Perbedaan antara revisi

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Baris 24:
* [[Daftar integral dari fungsi exponential]]
* [[Daftar integral dari fungsi logaritmik]]
* [[Daftar integral dari fungsi Gaussian|Daftar integral dari fungsi Gauss]]
 
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Gradshteyn, Ryzhik, Jeffrey, Zwillinger's ''Table of Integrals, Series, and Products'' contains a large collection of results. An even larger, multivolume table is the ''Integrals and Series'' by Prudnikov, Brychkov, and [[Oleg Igorevich Marichev|Marichev]] (with volumes 1–3 listing integrals and series of [[elementary function|elementary]] and [[special functions]], volume 4–5 are tables of [[Laplace transform]]s). More compact collections can be found in e.g. Brychkov, Marichev, Prudnikov's ''Tables of Indefinite Integrals'', or as chapters in Zwillinger's ''CRC Standard Mathematical Tables and Formulae'', Bronstein and Semendyayev's ''Handbook of Mathematics'' (Springer) and ''Oxford Users' Guide to Mathematics'' (Oxford Univ. Press), and other mathematical handbooks.
 
Other useful resources include [[Abramowitz and Stegun]] and the [[Bateman Manuscript Project]]. Both works contain many identities concerning specific integrals, which are organized with the most relevant topic instead of being collected into a separate table. Two volumes of the Bateman Manuscript are specific to integral transforms.
 
There are several web sites which have tables of integrals and integrals on demand. [[Wolfram Alpha]] can show results, and for some simpler expressions, also the intermediate steps of the integration. [[Wolfram Research]] also operates another online service, the [http://integrals.wolfram.com/index.jsp Wolfram Mathematica Online Integrator].
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== Aturan integrasi dari fungsi-fungsi umum ==
 
:# <math>\int af(x)\,dx = a\int f(x)\,dx \qquad\mbox{(}a \mbox{ konstan)}\,\!</math>
:# <math>\int [f(x) + g(x)]\,dx = \int f(x)\,dx + \int g(x)\,dx</math>
:# <math>\int af(x)\,dx = a\int f(x)\,dx \qquad\mbox{(}a \mbox{ konstan)}\,\!</math><math>\int f(x)g(x)\,dx = f(x)\int g(x)\,dx - \int \left[f'(x) \left(\int g(x)\,dx\right)\right]\,dx</math>
:# <math>\int [f(x)]^n f'(x)\,dx = {[f(x)]^{n+1} \over n+1} + C \qquad\mbox{(untuk } n\neq -1\mbox{)}\,\! </math>
:# <math>\int {f'(x)\over f(x)}\,dx= \ln{\left|f(x)\right|} + C </math>