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Question-159917




Question Number 159917 by PengagumRahasiamu last updated on 22/Nov/21
Commented by mr W last updated on 22/Nov/21
d⌊x⌋=0dx  ⇒∫_a ^b f(x)d⌊x⌋=∫_a ^b f(x)×0dx=∫_a ^b 0dx=0
$${d}\lfloor{x}\rfloor=\mathrm{0}{dx} \\ $$$$\Rightarrow\int_{{a}} ^{{b}} {f}\left({x}\right){d}\lfloor{x}\rfloor=\int_{{a}} ^{{b}} {f}\left({x}\right)×\mathrm{0}{dx}=\int_{{a}} ^{{b}} \mathrm{0}{dx}=\mathrm{0} \\ $$

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