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i want some expert's help solving following problem ,its first time i came across floor function in integration.

i need good understandable explanation ,thank you

Note by Aniket Sonawane
3 years, 1 month ago

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Hint: Floor is a constant function between consecutive integers so you need to break your integral between (1,2) where value of floor will be 1 and (2,3) where value of floor will be 2.

Ketan Singh - 3 years, 1 month ago

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what about [x] ? how to deal with it ?

Aniket Sonawane - 3 years, 1 month ago

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Only way to deal with floor is to break its interval so [x] becomes 1 in (1,2) and 2 in (2,3)

Ketan Singh - 3 years, 1 month ago

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thank you very much #KetanSingh. i m trying to solve this problem now.

Aniket Sonawane - 3 years, 1 month ago

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