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 formulas, by parts, trigonometry, identification and expansion

Basic integral

Basic integral formulas, by parts, trigonometry, identification and expansion

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

Basic integral formulas, by parts, trigonometry, identification and expansion

Definite integral

Basic integral formulas, by parts, trigonometry, identification and expansion

Extended integral

Basic integral formulas, by parts, trigonometry, identification and expansion

Indefinite integral

Basic integral formulas, by parts, trigonometry, identification and expansion

Integration of rational functions

Basic integral formulas, by parts, trigonometry, identification and expansion

Basic integral formulas, by parts, trigonometry, identification and expansion

Basic integral formulas, by parts, trigonometry, identification and expansion

Example of integral calculation

Calculate the following integrals:

Example 1: 

Basic integral formulas, by parts, trigonometry, identification and expansion

Example 2:

Basic integral formulas, by parts, trigonometry, identification and expansion

Example 3:

Basic integral formulas, by parts, trigonometry, identification and expansion

Example 4:

Basic integral formulas, by parts, trigonometry, identification and expansion

Example 5:

Basic integral formulas, by parts, trigonometry, identification and expansion

Example 6:

Basic integral formulas, by parts, trigonometry, identification and expansion

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

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