Maxima knows how to integrate this:
integrate(u(x)*diff(u(x),x),x);
but not this:
integrate((u(x)^4+1)/(u(x)^5+3*u(x))*diff(u(x),x),x);
but it can compute it with the change of variables:
integrate((x^4+1)/(x^5+3*x),x);
Why this limitation?
should'nt maxima try the trivial change of variables when it knows the
answer to the new integration?
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