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@Apu
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.[a]-[a-0.5]=1 when Z<=a<0.5
From this, we find the inner integral
From 0 to 0.5, the area under the graph would be 0.5, after that 1 to 1.5, the area will again be 0.5 and so on.
So till [x], the value of the integral is [x]/2 ig.
After this, this is basically integral of [x]/2 from 0 to [x]