Here is , seemingly simple task:
In the Euclidean plane are given two sets, each with 4 points. It is known that all possible pairwise distances between the points of the first set coincide with all possible pairwise distances between the points of the second set, ie we obtain two sets of numbers, in each of which six numbers. Of course, the numbers in each numeric set can be repeated (such sets are called multisets).  Can we say that there is an isometry of...

Maple 13 does not calculate the definite integral

int(x^4/(4*x^5+2), x=0..1);

although the corresponding indefinite integral is calculated correctly. The reason?

Thank you.

An example:

evalf(frac(10^2*exp(1)));

0.8281828

Two digits lost.

And here is even worse:

evalf(frac(10^9*exp(1)));

0.

Correct unswer:

evalf[20](frac(10^9*exp(1)));

0.4590452354

The correct answer

The following simple procedure: 
SubsColumn: = proc (A, V, k) 
local B, m; 
with (LinearAlgebra); 
m: = ColumnDimension (A); 
B: = <A[..,1..m]|V>; 
B: = ColumnOperation (B, [k, m +1]); 
B: = DeleteColumn (B, m +1); 
B; 
end proc; 

solve the problem of...