## Integration Formulas

Integration can be considered as the reverse process of differentiation or can be called Inverse Differentiation. Integration is the process of finding a function with its derivative.

An integral is a function, of which a given function is the derivative. Integration is basically used to find the areas of the two-dimensional region and computing volumes of three-dimensional objects.

### Integral Formulas

The list of integral formulas are

- ∫ 1 dx = x + C
- ∫ a dx = ax+ C
- ∫ x
^{n }dx = ((x^{n+1})/(n+1))+C ; n≠1 - ∫ sin x dx = – cos x + C
- ∫ cos x dx = sin x + C
- ∫ sec
^{2 }dx = tan x + C - ∫ csc
^{2 }dx = -cot x + C - ∫ sec x (tan x) dx = sec x + C
- ∫ csc x ( cot x) dx = – csc x + C
- ∫ (1/x) dx = ln |x| + C
- ∫ e
^{x }dx = e^{x}+ C - ∫ a
^{x }dx = (a^{x}/ln a) + C ; a>0, a≠1

### Classification of Integral Formulas

The integral formulas can be classified based on the following functions.

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

**Download the Integration Formulas PDF format using the link given below.**