Consider the integral I=∫lnxdx.
a. (i) State the rule for the integral of the product of two differentiable functions of x that is obtained from the product rule of differentiation.
b. (ii) Explain, with a brief reason, how the integrand lnx may be expressed in a form suitable for application of the rule stated in part (i).
c. (iii) Hence, evaluate I and simplify your answer.