Integration Formulas PDF: 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 PDF
The list of integral formulas are,
- ∫ 1 dx = x + C
- ∫ a dx = ax+ C
- ∫ xn dx = ((xn+1)/(n+1))+C ; n≠1
- ∫ sin x dx = – cos x + C
- ∫ cos x dx = sin x + C
- ∫ sec2 dx = tan x + C
- ∫ csc2 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
- ∫ ex dx = ex+ C
- ∫ ax dx = (ax/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
