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Basic integral formulas, by parts, trigonometry, identification and expansion
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
- Trigonometric integral
- Definite integral
- Extended integral
- Indefinite integral
- Integration of rational functions
- Example of integral calculation
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 .
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