[CAS] Integrals

[DrD]

(09-29-2017 02:33 PM)AlexFekken Wrote:  

(09-29-2017 01:17 PM)DrD Wrote:  However, the command sent to the tool was to integrate over the continuum. It can't, and that should be the answer.

NOTE: I have assumed that by "integrate over the continuum" you mean "integrate an unbounded function", or one that "goes to infinity", and not "integrate over the interval of all real numbers".

No, by continuum, I meant ALL of the specified, bounded, continuous interval [-1, 1], (given in the OP definite integral examples), and real numbers, (not complex), based on [CAS] and [HOME] settings. The continuum is -1 to 1, continuously, including the endpoints, (real x-values, ranging continuously from -1 to 1, and the function values of x are valid everywhere, EXCEPT at the x=0, point within the continuum of x=[-1..1].

An enhancement to provide indication in the title bar that complex numbers are on/off; (likewise, some means to restrict values to integers, reals, or complex numbers, via the assume() command), would be useful. If the title bar included indication for allowable numbers, it would have been obvious in a screenshot.

I appreciate your reasoning, (and Arno's!), and understand Parisse's explanation. The result gives a more advanced response than the underlying problem is requesting. int(1/x^n,x), for any power of x, where n≥0, ought to include some consideration, where x=0, in the result. A warning that analytical approaches are used at critical numbers, would be helpful. Otherwise it should fail, as other similar, (but not all), software does.