Integration is one of the basic and key calculations in the field of analysis. Below is a collection of integral formulas, generalized, extended, trigonometric, basic, partial, antiderivative integral formulas... for your reference.
Table of Contents

Basic integral

Integration by parts
According to the rule of taking the derivative of a product:
d(uv) = udv + vdu
Integrating both sides we get:
uv = ∫udv + ∫vdu
From here we have the following formula:
∫udv = uv − ∫vdu
Trigonometric integral

Definite integral

Extended integral

Indefinite integral

Integration of rational functions



Example of integral calculation
Calculate the following integrals:
Example 1:

Example 2:

Example 3:

Example 4:

Example 5:

Example 6:

In addition to the above integral formulas, you can refer to the most complete derivative and trigonometric derivative formulas .