Example: ∫

Example: ∫ e dt t Proper definite integral: Proper definite integral is an integral function, which has both the limits a and b are finite and the integrand f ( x ) is continuous in [ a , b ]. Example: e dt t Improper definite integral: An improper definite integral is an integral function, in which the limits either a or b or both are infinite, or the integrand f ( x ) becomes infinite at some points of the interval [ a , b ]. Example: e dt t ∞ Definition . For n > , ∞ is known known as