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