Should "froot(4*a^2,4)" return
[exponent = 2, coef = 1, radicand = 2 a] instead of
[exponent = 4, coef = 1, radicand = 4 a^2] ?

- Qian

On 12/3/23 21:05, Waldek Hebisch wrote:
Attached is at x^4 + a case handling both negative and positive a.
I added separate function to compute root of degree 4, but this
still needs improvement.  Positive a catches several examples
in mapleok.input.

Example:

(1) -> integrate(1/(x^4 + a^4), x)

    (1)
                                                                     +-+
                +-+    2    2              +-+    2    2           x\|2  + a
        log(a x\|2  + x  + a ) - log(- a x\|2  + x  + a ) + 2 atan(---------)
                                                                       a
      +
                 +-+
               x\|2  - a
        2 atan(---------)
                   a
   /
         3 +-+
      4 a \|2
                                          Type: Union(Expression(Integer),...)

Unfortunately,

integrate(1/(x^4 + a^2), x)

produces (4*a^2)^(1/4) and consequently answer is more complicated
then it should be.


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