Linked Questions

4 votes
3 answers
852 views

Factoring a separable integral with a product of independent integrands

I would like to input someFunction[Integrate[p[x] p[y], {x, -1, 1}, {y, -1, 1}]] and to get the following output ...
Dmitri's user avatar
  • 522
4 votes
2 answers
265 views

Displaying integrals with non-variable factors in front [duplicate]

In class I sometimes go through the steps in mathematical derivations using Mathematica. Some of the steps involve substitutions and assumptions that come conceptually outside a strict mathematical ...
David G. Stork's user avatar
2 votes
2 answers
226 views

Unprotect the Integrate command

I entered the follow code in order to tell Mathematica an integral result, which it is unable to evaluate originally: ...
pisco's user avatar
  • 229
0 votes
3 answers
732 views

How to convert Integrate[Integrate[...] ...] into multiple integral

The following two expressions are identical from a human point of view: a = Integrate[f[x, y], x, y] b = Integrate[Integrate[f[x, y], x], y] The same goes here: <...
Konstantin Konstantinov's user avatar
2 votes
2 answers
303 views

Patterns with inactive integrals

I am trying to do algebra on unsolved integrals but not getting the pattern-matching right. I want the correlation of f[x] and f[x]+a*d[x], normalized by their self correlations. ...
Jerry Guern's user avatar
  • 4,602
1 vote
2 answers
248 views

Symbolic integration of a indexed product term?

I am trying to perform the symbolic integration of the following expression $$\int \prod_{i=1}^n p(x_i | z) p(z) dz$$ where $$p(x_i|z) = \frac{\exp\left(\tfrac{-(x-z)^2}{2\sigma_i^2}\right)}{\sqrt{2 \...
Pushpendre's user avatar
3 votes
2 answers
324 views

How to integrate a symbolic sum?

I'm trying to integrate a function that involves a finite sum: $$\int_{-\infty}^{\infty}\sum_{j=1}^n (e^{-b t^2}r_j) \,dt$$ I think it should be possible to take the exponent outside the sum: $$\int_{-...
ForceBru's user avatar
  • 155
6 votes
1 answer
234 views

Double integral yields zero unexpectedly

In developing a large set of functions and definitions, I sometimes got zero unexpectedly. In trying to identify the problem via Trace, the fact that Integrate doesn't give much insight in its inner ...
RamonC's user avatar
  • 63
1 vote
3 answers
162 views

How can I teach Mathematica to break divergent integrals into terms?

For instance, I get the following expression: $\int_0^{\infty } \left(\frac{e^2 x}{e^{2 x+2}-e^{2 x}}-\frac{x}{e^{2 x+2}-e^{2 x}}-\frac{e^2}{2 \left(e^{2 x+2}-e^{2 x}\right)}+\frac{3}{2 \left(e^{2 x+2}...
Anixx's user avatar
  • 3,585
1 vote
2 answers
293 views

Strange evaluation of an sum involving binomial coefficients

I stumbled upon this problem while playing with Mathematica 10. Can anyone help me explain the following behaviour? I define a sum ...
Cai Thinh's user avatar
0 votes
1 answer
212 views

Why doesn't Mathematica cancel this constant out of the integral?

I have the mathematical expression Integrate[f[r], {r, τ, t}] == a*Integrate[f[r]/a, {r, τ, t}] which is obviously true for all functions ...
HerpDerpington's user avatar
3 votes
1 answer
173 views

Pushing Mathematica's FullSimplify to a global complexity minimum

Original: Is there any way to control Mathematica's inner simplification algorithm? I have seen several instances where FullSimplify does not yield the most optimal ...
Filipe Miguel's user avatar
1 vote
1 answer
153 views

Solving linear equation with integrals

I have a simple equation with respect to constants A and B, unfourtunately it's written using definite integrals with unknown ...
Vsevolod A.'s user avatar
0 votes
1 answer
123 views

Assume that the value of an integral is real

I would like to give a condition that the integral I am handling are not complexes. Consider ...
Smilia's user avatar
  • 592
2 votes
0 answers
69 views

Tell MMA that $\int_0^1 \alpha \beta(x) dx= \alpha \int_0^1 \beta(x) dx$

Why is it that MMA excludes alpha from the integral in the first case but not in the second? ...
anderstood's user avatar
  • 14.3k

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