Answer
An indefinite integral is a set of functions while definite integral is a number.
Work Step by Step
An indefinite integral is a set of functions whose members differ by a constant. Graphing the elements of an indefinite integral displays a vertical shift between each of the functions.
Definite integral is a number that gives the area between the curve and the $x$-axis starting from the lower limit till the upper limit of the $x$ values.
So, the basic difference is that an indefinite integral is a set of functions while a definite integral is a particular number.