(a) State the sum rule and the constant multiple rule for indefinite integrals.
(b) Explain why, when evaluating ∫(3f(x)+5g(x))dx, only one arbitrary constant of integration is written in the final answer rather than two separate constants for the two terms.
(c) Illustrate your explanation by finding the antiderivative of 3x2+5sinx and write the final answer with the appropriate constant of integration.