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In addition to the standard error codes for invalid arguments the functions can return the following values,
GSL_EMAXITERthe maximum number of subdivisions was exceeded.
GSL_EROUNDcannot reach tolerance because of roundoff error, or roundoff error was detected in the extrapolation table.
GSL_ESINGa non-integrable singularity or other bad integrand behavior was found in the integration interval.
GSL_EDIVERGEthe integral is divergent, or too slowly convergent to be integrated numerically.