This is consistent with the dose being 130µl of a dilute liquid
Can you clarify this part? The liquid is a reactive solution (and contains other ingredients) so I don’t understand how you calculated it.
I agree the integral is a reasonable interpretation and appreciate you pointing it out. My guess is low frequent applications are better than infrequent high doses, but I don’t know what the conversion rate is and this definitely undermines the hundred-dollar-bill case.
I tried the imported ketoconazole shampoo recently and it indeed worked where American OTC shampoo had failed.