Hi,

I have two questions, one might be thought of as a bug report / feature 
request, please tell me what you think. Trying
integrate(x, x, 0, infinity)
raises ValueError: Integral is divergent.

My first question: why it does not simply return infinity? (it does, by the 
way, if one chooses algorithm='sympy')

Now, trying
integrate(ceil(x), x, 0, infinity)
returns something weird:
limit(1/2*(2*x + 1)*ceil(x) - 1/2*ceil(x)^2, x, +Infinity, minus)
and trying to evaluate it with `.n()` raises TypeError.

My second question: why it does not return infinity / raises ValueError: 
Integral is divergent..?

And now, two more observations, which are certainly bugs:

Bug 1: running
integrate(ceil(x), x, 0, infinity, algorithm='sympy')
raises AttributeError: 'module' object has no attribute 'ceiling'. I am not 
sure, but I think that the problem is that in sympy there's no `ceil` but 
rather `ceiling`.

Bug 2: running
integrate(floor(x), x, 0, infinity, algorithm='sympy')
returns
integrate(floor(x), x, 0, +Infinity)
and trying to evaluate it with `.n()` returns (!!)
-679.7441466712775

Should I open 2 tickets for these last two bugs?


Thanks,
Peleg.





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