Linked Questions

12 votes
1 answer
1k views

1/x integration giving 0 instead of infinity [duplicate]

I stumbled across the fact this integral: Integrate[1/y, {y, 0, 1}, GenerateConditions -> False] returns 0 Anybody ...
danchus's user avatar
  • 121
23 votes
5 answers
6k views

Why this real integral yields imaginary results?

This integral yields -1-4Iπ/3 in Mathematica: Integrate[(y - y^2 + x - x^2 + 2*x*y)/(1 - x - y), {x,0,1}, {y, 0, 1}] Since ...
atbug's user avatar
  • 685
9 votes
2 answers
430 views

Why does Mathematica say $\int_0^1\int_0^1\int_0^1\frac{1.0}{xyz}\,dz\,dy\,dx=0$?

Mathematica 9 says that $\int_0^1\int_0^1\int_0^1\frac{1.0}{xyz}\,dz\,dy\,dx=0$ and $\int_0^1\int_0^1\int_0^1\frac{1}{xyz}\,dz\,dy\,dx=0$. ...
Steve Kass's user avatar
4 votes
3 answers
452 views

A discrepancy between the analytical and numerical integration results

Let us integrate the expression: I*y*(1/(x - I*y)^(5/2) - 1/(x + I*y)^(5/2)) over a rectangle in the (x,y) plane, where x ...
Alexei Boulbitch's user avatar
9 votes
1 answer
316 views

When to use GenerateConditions -> True

Many functions, usuallly those involving integration, take a GenerateConditions option which often defaults to False, or at ...
Daniel Mahler's user avatar
6 votes
2 answers
274 views

surprising behavior of `Sum`

Compare the following. (The option specified is the default value; just to be explicit.) ...
Alan's user avatar
  • 13.8k
3 votes
3 answers
1k views

Want to eliminate conditions from result of Integrate

This is my first time using Mathematica for the purpose of solving complex integrals. I have to compute few complex integrals which have many coefficients. For example, $$\int_0^\infty \frac{k^2\, ...
filipmor's user avatar
2 votes
1 answer
226 views

Why doesn't AsymptoticIntegrate work?

The following asymptotic AsymptoticIntegrate[Sqrt[n^2 - k^2], {k, 1, n - 1}, {n, Infinity, 1}] fails in 13.3 on Windows 10, returning the input. However, the ...
user64494's user avatar
  • 27.1k
2 votes
1 answer
303 views

Generate conditions seems to not work [closed]

I am trying to compute the following integral Integrate[E^(I*k*Omega*t), {t,0,T}, GenerateConditions->True] for which Mathematica returns ...
Jommy's user avatar
  • 121
2 votes
1 answer
160 views

A question about definite integrals and timing

I need to integrate the expression G given below: ...
mattiav27's user avatar
  • 6,747
2 votes
1 answer
255 views

Integrate and ConditionalExpression Output

I am integrating some difficult functions and using the conditional output to place bounds on parameters to ensure integrability, but it seems that not all of the conditions are being returned. The ...
Freakalien's user avatar