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### Sage could be even more clever - How to force the use of 'sympy' backend for simplifying symbolic integrals?

Hi there,

I have noticed the following problem:

sage: f = function('f')(x)
sage: var('h')
sage: integrate(exp(h)*exp(x)*f(x),x)
integrate(e^(h + x)*f(x), x)


The workaround seems to be using the sympy backend for symbolic integration

sage: integrate(exp(h)*exp(x)*f(x),x,algorithm='sympy')
e^h*integrate(e^x*f(x), x)


which always seems to be a good idea as I learned from @Emmanuel Charpentier over here.

Now I would like to force the use of algorith='sympy' for simplifying these integrate(...) expressions globally. Unfortunately, the simplify() command does not allow to set this option.

sage: integrate(exp(h)*exp(x)*f(x),x)
integrate(e^(h + x)*f(x), x)
sage: _.simplify()
integrate(e^(h + x)*f(x), x)


TL;DR How can I force sage to pull out these type of exponential constants from the integral with the simplify() command?