Consider the indefinite integral
I=∫x−14x2−7x−6dx,
where x=1.
(a) Compute I and express the result with an arbitrary constant of integration.
(b) Combine any logarithmic terms in your answer from part (a) into a single logarithm with an absolute value argument; show the algebra that justifies the combination.
(c) State the largest interval of real numbers on which the antiderivative obtained in part (b) is valid without modification.