Hello FriCAS group,
It looks like I found a bug in FriCAS:
F:=integrate(acos(x^2),x)
gives:
+--------+
| 4 2 2
- 2 \|- x + 1 + x acos(x )
----------------------------
x
D(F,x)-acos(x^2)
gives the following instead of 0:
2
-------------
+--------+
2 | 4
x \|- x + 1
I use FriCAS via https://sagecell.sagemath.org/ . Here is some Sage-code
that produces the above output:
from sage.interfaces.fricas import fricas
fricas.eval(
"F:=integrate(acos(x^2),x)"
)
print("F=\n",fricas("F"))
fricas.eval("f:=D(F,x)-acos(x^2)")
print("F'-acos(x^2)=\n",fricas("f"))
The FriCAS version is 1.3.12. (print(fricas.eval(")lisp |$build_version|")
tells me this.)
The SageMath version is 10.8, Release Date: 2025-12-18. (version() tells me
this.)
Fabian
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