Find the value of ∫09 [x+2]dx where [.] is the greatest integer function

Find the value of 09[x+2]dx where [.] is the greatest integer function

  1. A

    31

  2. B

    23

  3. C

    22

  4. D

    27

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    Solution:

    09[x+2]dx=01[x+2]dx+14[x+2]dx+49[x+2]dx=012dx+14(1+2)dx+49(2+2)dx=2+9+20=31

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