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MHT CET202019 Oct 2020Morning ShiftMathematicsDefinite IntegrationActual

If ₁^ k (3 x²+2 x+1 ) d x=11 , then k =

Options

  1. A1 2
  2. B-2
  3. C- 1 2
  4. D2

Correct answer

D. 2

Step-by-step solution

(C) We have [3 ( x³ 3 )+2 ( x² 2 )+x ]₁^ k =11 [x³+x²+x ]₁^ k =11 (k³+k²+k )-(1+1+1)=11 k³+k²+k=14 k ( k ²+ k +1 )=2 7 k =2

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