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