Integration Formulas

About Integration Formulas

Integral Formulas — Integration is the inverse of differentiation, also known as Inverse Differentiation. The process of finding a function's derivative is known as integration. Here are some basic integration formulas for various functions. Apart from the basic integration formulas, this article also includes a taxonomy of integral formulas, as well as a few, practise questions based on the integration formulas discussed. Integrating the product of two functions, such as y = uv, is referred to as integration by parts.

$\int d x = x + C$
$\int x^{n} d x = \frac{x^{n + 1}}{n + 1} + C$
$\int \frac{d x}{x} = \ln | x | + C$
$\int e^{x} d x = e^{x} + C$
$\int a^{x} d x = \frac{1}{\ln a} a^{x} + C$
$\int \ln x d x = x \ln x - x + C$
$\int \sin x d x = - \cos x + C$
$\int \cos x d x = \sin x + C$
$\int \tan x d x = - \ln | \cos x | + C$
$\int c o t x d x = \ln | \sin x | + C$
$\int s e c x d x = \ln | s e c x + \tan x | + C$
$\int c s c x d x = - \ln | c s c x + c o t x | + C$
$\int s e c^{2} x d x = \tan x + C$
$\int c s c^{2} x d x = - c o t x + C$
$\int s e c x \tan x d x = s e c x + C$
$\int c s c x c o t x d x = - c s c x + C$
$\int \frac{d x}{\sqrt{a^{2} - x^{2}}} = \sin^{- 1} \frac{x}{a} + C$
$\int \frac{d x}{a^{2} + x^{2}} = \frac{1}{a} \tan^{- 1} \frac{x}{a} + C$
$\int \frac{d x}{x \sqrt{x^{2} - a^{2}}} = \frac{1}{a} s e c^{- 1} \frac{|x|}{a} + C$

Classification of Integral Formulas

The integral formulas described above are categorized using the functions below.

Rational functions
Irrational functions
Trigonometric functions
Inverse trigonometric functions
Hyperbolic functions
Inverse hyperbolic functions
Exponential functions
Logarithmic functions
Gaussian functions

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Integration Formulas

About Integration Formulas

Classification of Integral Formulas

Download the pdf of the Integration Formula

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Frequently Asked Questions on Integration Formulas

Integration Formulas

About Integration Formulas

Classification of Integral Formulas

Download the pdf of the Integration Formula

Related Links

Frequently Asked Questions on Integration Formulas

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