Basic Rules of Integration

​The expression F(x)+C is called the general antiderivative of f since it generalizes the family of antiderivatives of f.

​Integration

​the reverse process of differentiation

​The Indefinite Integral

​The process of finding all antiderivatives of f(x) is called antidifferentiation. The other term used for this process is integration, and we also call an antiderivative an integral of f.

​The symbol ∫, called the integral sign, is used to denote the integral of a function. The integral of f(x) can be written as:

  ∫f(x)dx=F(x)+C

​This is called an indefinite integral.

​Basic Integration Rules

​the basic formula for integration can be derived from the differentiation formulas.

Let us introduce some of the basic formulas​

​The Indefinite Integral of a Constant

​Example:

​The Indefinite integral of a Constant Multiple of a Function

​Sum and Difference rule