Integrate question

[DrD]

Something tells me not to pursue this further, but:

We all get the general idea.

Returning -1/48 as a constant is less accurate than returning: c=any constant, or omitting it entirely, because ... it is indefinite. It's less accurate because a specific constant is not the same as any constant.

It's important because further processing should not need to track that -1/48 specific constant. An example of why this is, is demonstrated by comparing the results between the hand method, and CAS, as shown, the difference is not zero!

If the difference is not zero, and the complexity of the problem is already confusing enough to someone trying to make sense of all this, frustration has just been added to the poor soul who wants a simple answer to a simple question, "is my hand calculation correct?" Well ... no, not according to CAS/xcas.