Error when integrating absolute value

[parisse]

The change I made in the source is : before checking that the antiderivative is univariate, check if it is a product and remove terms that do not depend on x.
About the warning: there might be problems if for example the antiderivative has a dependency on k that can not be removed easily, for example if it contains a sign(cos(x)-k).
If you get a warning, you should check the answer. If an integral is univariate and has bounded limits, the CAS does a numeric check, then you can be confident. If an integral has parameter, a good way to check the answer is give one or 2 values to the parameter. Or alternatively, compute the antiderivative, and make a plot for some value of k, check discontinuities.

And if you want to discuss Prime CAS in French, please register to the Forum de Xcas, there is a section about calculators. I'd be more than happy to answer in French, but here it would not be polite to have a discussion in French (unless we translate it to English of course).