An integral

[patrice]

Hi Jose,

(09-06-2014 08:05 PM)jebem Wrote:  

(09-06-2014 07:57 PM)patrice Wrote:  Since sqrt(3) / 3 is the same as 1 / sqrt(3)
is your answer, only presented differently.

Hi Patrice,
I believe you misread me in Post#2.
What the OP is asking is why is the Prime not giving an exact result (like 8*pi*sqrt 3)/3 or (8*pi)/sqrt(3))?
What the Prime is doing is to answer with another integral. I also tested with XCAS (see post #4) and the behavior is similar to the Prime.
The only choice found so far is to use the approx to get a real number.

No, I think I read carefully your answer.

I was answering to lrdheat which want the answer spelled the exact way of the Nspire, even if the Nspire is the one guilty of not fully simplifying the answer.
Your answer match the one he is awaiting for, simply Prime simplified it further.