# Tagged Questions

33 views

I would like to rewrite symbolic definite integrals such that the bounds are always positive. For example : $\int_{-\infty}^\infty f(x) \mathrm{d} x \rightarrow \int_0^\infty \left[ f(x) + f(-x) ... 1answer 130 views ### Check for holomorphy of a function Given a (rather complicated) function H(z), what is the best approach to check symbolically whether it is holomorphic? What I tried is checking explicitly the ... 1answer 96 views ### Expanding derivatives of hypergeometric functions Sometimes Mathematica expresses results of integration or summation in terms of symbolic derivatives of Hypergeometric2F1 function, and cannot further simplify ... 0answers 30 views ### Is it possible to obtain vector differentiation results in terms of vectors rather than components? [duplicate] When doing certain operations on vectors in Mathematica it is quite desirable to convert the results back into coordinate-free notation. Unfortunately, after going through the Documentation Center and ... 1answer 169 views ### Simplification of integrals depending on a parameter [duplicate] Assuming[Element[n, Integers], Integrate[Sin[x]*Sin[n*x],{x,0,Pi}]] returns 0, which is obviously wrong for n=1. ... 2answers 197 views ### Calculate information entropy integral in infinite square well problem In the context of information theory, entropy is a measure of uncertainty of a random variable. In quantum mechanics, the uncertainty principle states that$\Delta x\Delta k \ge 1/2$. The same can be ... 0answers 53 views ### Reducing a long complex expression to a simplier one by using assumptions so I have an ugly looking equation that I wish to solve under some specific circumstances. Using DSolve I write; ... 0answers 132 views ### How to prevent simplification of hypergeometric functions resulting from integrations? Definite integrals from 0 to Infinity over a product of two hypergeometric (including exponential, trigonometric, hyperbolic, ... 1answer 227 views ### Pull Constants outside of integrals I would like Mathematica to pull constants outside of an integral: e.g.,$\int_0^t f[t] g[s] dt \to g[s] \int_0^t f[t] dt$This has previously been discussed at replacement rule to pull independent ... 0answers 48 views ### Verifying integration by parts of an arbitrary function [duplicate] Suppose that I have an arbitrary differentiable function$G$which depends on$s$:$G(s)$. Now suppose that I want to do the following integral: $$\int ds \;\; s \frac{\partial G(s)}{\partial s}.$$ ... 2answers 277 views ### integral, explicit form I want to estimate the ratio of integrals: $$\frac{\int \frac{4 a T^3}{\frac{4 a T^4}{3}+\Lambda_1 \left(\frac{4}{T^3}+1\right)}}{\int \frac{4 a T^3}{\frac{4 a T^4}{3}+\Lambda_0 ... 4answers 796 views ### An apparently “simple” limit? Let c and h be real values. I was using Mathematica to compute the limit (h \rightarrow \infty) of the following expression:$$ \frac{\left(h^2 +c^2 h^2 + \sqrt{4 h^2+\left(h^2+c^2 ... 1answer 129 views ### Assumptions are not being applied to integral I am trying to use assumptions to simplify an integral, but I can't seem to get the assumptions to apply themselves. Here is the code I am using: Note the expressions in the assumption can be found ... 2answers 530 views ### Why aren't these additions of integrals and summations equal? I have the following code: Simplify[Integrate[f[x] + g[x], x] == Integrate[f[x], x] + Integrate[g[x], x]] To test:$$\int{\left(f(x) + ... 2answers 557 views ### Simplifying the derivative of$|x|\$

Context In[855]:= D[Abs[x], x] /. x -> 1 Out[855]= Derivative[1][Abs][1] In[856]:= D[x, x] /. x -> 1 Out[856]= 1 Question Why is ...
266 views

### Strange result when integrating BesselJ functions

Consider the following integral: ...
4k views

### How to specify assumptions before evaluation?

If I request mathematica evaluate an integral for me, I'll often get a more general ConditionalExpression than I want. Example : ...