the value of integral [x]dx within limits 0 to 1.5 where [x] is greatest integer function is

a. 0.5 b. 0 c. 1 d. 2

also tell me the value of d[x]/dx

Dear Anu

I =limit 0 to 1.5  ∫[x] dx

  =limit 0 to 1 ∫[x] dx   + limit 1 to 1.5  ∫[x] dx

   =0                            + limit 1 to 1.5 ∫1 dx

   =1 (1.5-1)

   =.5

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