Answer the following questions:
(i) Define an antiderivative of a real-valued function. What is meant by the constant of integration?
(ii) Give a reason why the rule ∫xndx=n+1xn+1+C cannot be applied when n=−1.
(iii) Starting from the derivative dxd(xn+1)=(n+1)xn for n=−1, derive the general formula for the antiderivative of xn. State clearly each step used in your derivation.