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Integral 0 to 102 [tan^-1]dx [X] is the largest integer not exceeding x
just put tan inverse x = yor x= tanyor dx=sex^2ydynow integral becomes 0 to tan inverse(102) [y]sec^ydysplit this integral as 0 to 1 + 1 to tan inverse(102)from 0 to 1 [y]=0from 1 to tan inverse(102), [y]=1so, answer is 102-tan1
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