XII Maths Chapter 8. Application of Integrals | Page 6

Properties of Integral Function 1. The integral function of an integrable function is continuous. 2. If φ( x) is the integral function of continuous function, then φ( x) is derivable and of φ‘ = f( x) for all x ∈ [ a, b ].
Gamma Function If n is a positive rational number, then the improper integral is defined as a gamma function and it is denoted by Γn
Properties of Gamma Function