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1. partial fractions:

if I have following integral: Itegral[(1-2x^2)/(x - x^3)]dx;

my question is do I break down the denominator to x(1-x^2) or do I go further:

x(1-x)(1+x); this way it becomes more complicated;

2. chain rule:

how does chain rule work in this case: f(x)g(x)h(x)?

is it something like f'(x)[g(x)h(x)] + g'(x)[f(x)h(x)] + h'(x)[f(x)g(x)] ??? or how would I differentiate this?

Thanks in advance.