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A problem about the integration of blackbody radiation law using FormulaData. QuantityVariable limits

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I am trying to integrate blackbody radiation law under 1500 Kelvin using the FormulaData command.

The integration seems not to work properly after I designate the integration range. Mathematica does not return me the numeric value that I want, and there is no error message popping up. So I guess my command is actually not a problem?

Is it because Mathematica simply cannot handle this kind of complicated integration?

f = FormulaData[      {"PlanckRadiationLaw", "Wavelength"},       {"T" -> Quantity[1500, "Kelvins"]}   ]N[ Integrate[ f[[2]], {λ, 1*^-6, 10*^-6} ] ]

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