Is it possible to obtain integral of sqrt(1+sin(x)^2) in Maple as known result of elliptic integral of the second kind  E(x,-1) ?

Maple 2025 gives

integrand:=sqrt(1+sin(x)^2);
anti:=int(integrand,x);
anti:=simplify(anti);

Not able to differentiate back:

diff(anti,x);
simplify(%)

Google says:

And the above is also what Mathematica gives

Is it possible to obtain E(x,-1) also in Maple for this integral?

Maple 2025.2

Not able to make an example, since it depends of code flow and not able to reproduce it in small code. I spend hrs trying to make one. It depends on how memory is arranged and this problem shows only when running my large program.

But I can show screen shots from a debugging session showing clearly the problem, and the solution I found.

Maple was giving this result, when calling simplify to simplify a matrix:

Notice what happend. There was a matrix [3/2,-1,-3/2,0],[0,0,0,0],[-2,2,2,0]] before that was simplfied.

Next iteration called simplify on modified version of the matrix, which is  [3/2,-1,-3/2,0],[0,0,0,0],[0,2/3,0,0]].  (called e in the above).

But simplify returned as result the old copy. Which is completely wrong.

It simplified  [3/2,-1,-3/2,0],[0,0,0,0],[0,2/3,0,0]]  to  [3/2,-1,-3/2,0],[0,0,0,0],[-2,2,2,0]]  !

Now see what happes when calling forget(simplify)

You see, now it simplfies it correctly. (there is actually nothing to simplify, so it returned back same matrix as expected, and no copy it had in memory).

So now I went over all my code, and everywhere it calls simplify, added 

     forget(simplify)

right after each call.

Problem fixed.

May be someone can shed a light on why this happens. Any information needed will try to provide. I can reproduce this each time but using the debugger.

restart;

ode:=diff(y(x),x) = 3*(y(x)*x)^(1/2); 
IC:=y(0)=2;
sol:=dsolve([ode,IC])

This is a good example of how Maple result looks different depending on what calls to Maple were made before.

I can't upload worksheet so have to show code and screen shot. Compare the screen shot below. Maple 2025.2. Same exact input., In first example the polynomial terms display in different order compared to the second example, even though the same exact input is used.

Clearly the first example is because Maple remembered this polynomial in its remember table somewhere before due to earlier call, and did not want to make new copy since it is same polynomial?

But I do want to make new polynomial. The old copy/order this polynomial in Maple internal tables is getting in the way.

But do not know how to tell Maple to clear its cache so I get same display as in the second example. I know both answers is the same. But the issue is why it displays different.

How could I get same output from first example as in the second one? What do I need to clear? I tried forget(Student:-Precalculus:-CompleteSquare) but this had no effect. ALso tried forget(all); also forget(all,forgetpermanent = true,reinitialize=true); also forget(Student:-Precalculus:-CompleteSquare,subfunctions=true);

code

restart;

eq := x^2 + y^2 + z^2 - 2*x + 8*y - 6*z - 30 = 0:
eq:=Student:-Precalculus:-CompleteSquare(eq):
e1:=convert(indets(%,`^`),list):
e2:=zip((a,b)->a=b,e1,[X,Y,Z]):
e3:=sort(eval(eq,e2));
e4:=map(X->rhs(X)=lhs(X),e2);
eval(e3,e4);

restart;

e3 := X + Y + Z - 56 = 0;
e4 := [X = (x - 1)^2, Y = (y + 4)^2, Z = (z - 3)^2];
eval(e3,e4);

[moderator: duplicate of this earlier question]

What is the current status of SupportTools? Is this something that still brings fixes in Maple before official release?

I am asking because there have not been an update to ST since June 23, 2025. Almost 6 months ago.

Should one still check for current version of SupportTools, is it still being updated or not? If not, then what does SupportTools package actualy do or contain if it is no longer needed/used? 

This is all fussy for me, and some clarification for users will be good to better understand the role of this package.