Answer the following questions related to the basic ideas of integration.
(i) Define the indefinite integral of a function f(x). Write its general notation.
(ii) Define the definite integral of a function f(x) over the interval [a,b]. Write its standard notation.
(iii) List any two differences between an indefinite integral and a definite integral with respect to their outcomes and symbols used.
(iv) What is the role of the constant of integration C in an indefinite integral?