## 95 Reputation

15 years, 275 days

## Maple unable to evaluate integral but up...

Maple 2019

So Maple 2019 seems to be unable to evaluate a relatively easy integeral for a positive integer, but when the obvious substitution u=cos(x) is made it is able to evaluate the integral.  Is there some setting I am using that is causing Maple to give up without much effort?

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 Originally n, renamed n~:   is assumed to be: AndProp(integer,RealRange(1,infinity))
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## indefinite definite easily evaluated, de...

Maple 2019

Can anyone look at this worksheet, and explain why maple seems to complicate an easily evaluated integral?

Hyper.mw

## Bug using Heaviside and PDF in statistic...

Maple

Integrating a positive definite function (normal distribution) and a >= 0 function (Heaviside) should not return a negative value.

with(Statistics);
X := RandomVariable(Normal(1, sqrt(2.25)));
int(PDF(X, x)*Heaviside(x^7-5*x^4-3*x+1), x = -infinity .. infinity);
-0.08507120131

Bug.mw

## Laplacian or 1/r...

Maple

Is there a way to take the laplacian of 1/r and get the "physics" answer of -4*pi*delta(\vec{r})?

## How do I find higher eigenvalues for an ...

Maple

My Maple worksheet is attached below - where I am solving two quantum mechanics problems, trying to find the eigenvalues for certain potentials.  Using a previous post in Mapleprime (https://www.mapleprimes.com/questions/221629-Can-Maple-Find-Solution-To-Eigenvalue),  I saw how to get the lowest eigenvalue.  My question is how using numeric solutions, I can get the higher eigenvalues and corresponding solutions.  Is there a way to specify that e (the eigenvalue) has to be in a certain range.  I tried to specify assumptions (e>0.6), but that didn't work.  I know that for the second problem (using the shooting method) that the 4 lowest eigenvalues are 0.184358, 0.70747, 1.2065, 1.5625.  Thank you very much for you consideration.

ODE_BVP_eigenvalues.mw

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