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MHT CET202124 Sep 2021Evening ShiftMathematicsDefinite IntegrationActual

₂^5 2[x] d 18x= where [x] denotes the greatest integer function x

Options

  1. A18
  2. B16
  3. C12
  4. D24

Correct answer

A. 18

Step-by-step solution

aligned & Let I= ₂^5 2[x] d x & = ₂^3 2(2) d x+ ₃^4 2(3) d x+ ₄^5 2(4) d x & =4[x]₂^3+6[x]₃^4+8[x]₄^5=4+6+8=18 aligned

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