Final answer:
The student's query is about finding the general antiderivative but includes information on constant acceleration. An explicit function to integrate was not provided, hence a specific antiderivative cannot be determined. For constant acceleration, the integral would be 'at + C'.
Step-by-step explanation:
The student's question deals with finding the general antiderivative of a given function assuming that a is a positive constant. However, the information provided seems to discuss a physics concept, particularly constant acceleration and its applications to motion. No explicit function for which to find the antiderivative is provided.
If the goal is to find the antiderivative of a function in the context of acceleration, a common problem in mathematics might be to integrate the acceleration function to get the velocity function. If a is the acceleration and it's constant, the antiderivative, or integral, with respect to time t is at + C, where C is the constant of integration representing the initial velocity. Yet, without an explicit function from the student, we cannot proceed with a specific solution.