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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

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


                        

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

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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