Lists of integrals

This table of drainage and root functions (integral sign) gives an overview of derivative functions and primitives that are needed in the differential and integral calculus.

Table of simple derivation and primitives (basic integrals)

This table is structured in two columns. In the left column, a function in the right column is an antiderivative of this function. The function in the left column, thus the derivative of the function in the right column.

Note: If an antiderivative of and any real number ( constant), then is also an antiderivative of. For example, is also an antiderivative of. If the domain of an interval, we obtain in this way all master functions. Is the domain of a plurality of intervals, the constant term can be selected separately for each of the intervals. The constant term is not included for the sake of clarity in the table. Furthermore: If an antiderivative of is so is due to the linearity of the integral of a function of strain.

Power and radical functions

Exponential and logarithmic functions

Trigonometric and hyperbolic functions

Other

Recursion formulas for more primitive functions

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