قواعد مكاملة الدوال العامة
![{\displaystyle \int [f(x)+g(x)]\,dx=\int f(x)\,dx+\int g(x)\,dx](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/5dc2c6e2acadf432d22ca42bc6a21af25e48e64d)
![{\displaystyle \int f(x)g(x)\,dx=f(x)\int g(x)\,dx-\int \left(d[f(x)]\int g(x)\,dx\right)\,dx](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/f2da09fdfdcb12ff1a55cb20340291b01e6832c0)
تكاملات الدوال البسيطة
الدوال المنطقة Rational function
- more integrals: List of integrals of rational functions
الدوال غير المنطقة Irrational function
- more integrals: List of integrals of irrational functions
اللوغاريتمات
- more integrals: List of integrals of logarithmic functions
الدوال الأسية
- more integrals: List of integrals of exponential functions
الدوال المثلثية
- more integrals: List of integrals of trigonometric functions and List of integrals of arc functions
دوال البتر الزائد
- more integrals: List of integrals of hyperbolic functions
تكاملات محددة
There are some functions whose antiderivatives cannot be expressed in closed form. However, the values of the definite integrals of some of these functions over some common intervals can be calculated. A few useful definite integrals are given below.
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