Let f(x)=4x3−6x+5. Answer the questions given below.
(i) Find the indefinite integral ∫f(x)dx, indicating the constant of integration.
(ii) Using your answer from part (i), evaluate the definite integral ∫−12f(x)dx.
(iii) Show explicitly in your working that the constant of integration does not influence the numerical value obtained in part (ii).