Antiderivative Notation

We write the antiderivative of a function as another function .

The relationship between a function and its antiderivative is that the derivative of is .

We write the family of antiderivatives of a function as:

Where is the constant of integration.

Related Notation

The first derivative of a function is denoted by an apostrophe after the function name. Alternatively, the partial symbol can be used to represent the derivative with respect to a variable.

The integral operator is written using the integral symbol ∫ and has four parts: the expression being integrated, the differential, and start value and an end value.