[CAS] Integrals

[DrD]

(09-28-2017 03:50 AM)AlexFekken Wrote:  

(09-27-2017 07:43 PM)Arno K Wrote:  So your granddaughter is dealing with Riemann-integrals, one point is that the integrand has to be continous which here clearly is not the case, she is done with the task when she writes that down. The rest is to be discussed later.
Arno

From what I remember Riemann integrals are more generally defined for piece-wise continuous functions.

So continuity is not the issue, a singularity with an infinite areas is. It might be worth trying to integrate |x|^(-1/2) and x^(-1/3) on the same interval...

For sure. However, the problem is not about "how" to solve the core issue. It is about the CAS integrate command, and how it handles f(x)=1/x^n, where x=0, over a continuous interval that includes 0, with even or odd powers.