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f(x)=[x] denote the greteast integer funtion then integration from 0 to 1.5 of ([x^2]-[x]^2) is

f(x)=[x] denote the greteast integer funtion then integration from 0 to 1.5 of
([x^2]-[x]^2) is

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear manan

 

I =o1.5 ([x2]-[x]2)dx

   =o1 ([x2]-[x]2)dx  + 1√2 ([x2]-[x]2)dx + √21.5 ([x2]-[x]2)dx

   =o1 (0-0)dx  + 1√2 (1-1)dx + √21.5 (2-1)dx

    = 0  + 0 +  1*(1.5 -√2)

    =1.5 -√2

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