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:#<math>\int {f'(x)\over f(x)}\,dx= \ln{\left|f(x)\right|} + C </math>
:#<math>\int {f'(x) f(x)}\,dx= {1 \over 2} [ f(x) ]^2 + C </math>
==Integral dari fungsi-fungsi sederhana==
===Fungsi rasional===
{{main|Daftar integral dari fungsi rasional}}
:<math>\int \,{\rm d}x = x + C</math>
:<math>\int x^n\,{\rm d}x = \frac{x^{n+1}}{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>
===Fungsi irrasional===
{{main|Daftar integral dari fungsi irrasional}}
:<math>\int {dx \over \sqrt{a^2-x^2}} = \sin^{-1} {x \over a} + C</math>
:<math>\int {-dx \over \sqrt{a^2-x^2}} = \cos^{-1} {x \over a} + C</math>
:<math>\int {dx \over x \sqrt{x^2-a^2}} = {1 \over a} \sec^{-1} {|x| \over a} + C</math>
===Logaritma===
{{main|Daftar integral dari fungsi logaritmik}}
:<math>\int \ln {x}\,dx = x \ln {x} - x + C</math>
:<math>\int \log_b {x}\,dx = x\log_b {x} - x\log_b {e} + C</math>
===Fungsi eksponensial===
{{main|Daftar integral dari fungsi eksponensial}}
:<math>\int e^x\,dx = e^x + C</math>
:<math>\int a^x\,dx = \frac{a^x}{\ln{a}} + C</math>
===Fungsi trigonometri===
:''Artikel utama: [[Daftar integral dari fungsi trigonometri]] dan [[Daftar integral dari fungsi arc]]''
:<math>\int \sin{x}\, dx = -\cos{x} + C</math>
:<math>\int \cos{x}\, dx = \sin{x} + C</math>
:<math>\int \tan{x} \, dx = \ln{\left| \sec {x} \right|} + C</math>
:<math>\int \cot{x} \, dx = -\ln{\left| \csc{x} \right|} + C</math>
:<math>\int \sec{x} \, dx = \ln{\left| \sec{x} + \tan{x}\right|} + C</math>
:<math>\int \csc{x} \, dx = -\ln{\left| \csc{x} + \cot{x}\right|} + C</math>
:<math>\int \sec^2 x \, dx = \tan x + C</math>
:<math>\int \csc^2 x \, dx = -\cot x + C</math>
:<math>\int \sec{x} \, \tan{x} \, dx = \sec{x} + C</math>
:<math>\int \csc{x} \, \cot{x} \, dx = - \csc{x} + C</math>
:<math>\int \sin^2 x \, dx = \frac{1}{2}(x - \sin x \cos x) + C</math>
:<math>\int \cos^2 x \, dx = \frac{1}{2}(x + \sin x \cos x) + C</math>
:<math>\int \sec^3 x \, dx = \frac{1}{2}\sec x \tan x + \frac{1}{2}\ln|\sec x + \tan x| + C</math>
:<math>\int \sin^n x \, dx = - \frac{\sin^{n-1} {x} \cos {x}}{n} + \frac{n-1}{n} \int \sin^{n-2}{x} \, dx</math>
:<math>\int \cos^n x \, dx = \frac{\cos^{n-1} {x} \sin {x}}{n} + \frac{n-1}{n} \int \cos^{n-2}{x} \, dx</math>
:<math>\int \arctan{x} \, dx = x \, \arctan{x} - \frac{1}{2} \ln{\left| 1 + x^2\right|} + C</math>
===Fungsi hiperbolik===
{{main|Daftar integral dari fungsi hiperbolik}}
:<math>\int \sinh x \, dx = \cosh x + C</math>
:<math>\int \cosh x \, dx = \sinh x + C</math>
:<math>\int \tanh x \, dx = \ln| \cosh x | + C</math>
:<math>\int \mbox{csch}\,x \, dx = \ln\left| \tanh {x \over2}\right| + C</math>
:<math>\int \mbox{sech}\,x \, dx = \arctan(\sinh x) + C</math>
:<math>\int \coth x \, dx = \ln| \sinh x | + C</math>
===Fungsi inversi hiperbolik===
: <math>\int \operatorname{arsinh} x \, dx = x \operatorname{arsinh} x - \sqrt{x^2+1} + C</math>
: <math>\int \operatorname{arcosh} x \, dx = x \operatorname{arcosh} x - \sqrt{x^2-1} + C</math>
: <math>\int \operatorname{artanh} x \, dx = x \operatorname{artanh} x +
==Lihat pula==
*[[Integral]]
*[[Kalkulus]]
{{Lists of integrals}}
[[Category:Integral|Integral]]
[[af:Lys van integrale]]
[[ar:جدول التكاملات]]
[[bs:Tabela integrala]]
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[[en:Table of integrals]]
[[eo:Malderivaĵo]]
[[fr:Table de primitives]]
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[[ko:적분표]]
[[nl:Lijst van integralen]]
[[pt:Tábua de integrais]]
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