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MHT CET202210 Aug 2022Morning ShiftMathematicsDefinite IntegrationActual

_ -3 ^0 x x+4 d x=

Options

  1. A-94 15
  2. B94 15
  3. C-34 15
  4. D64 15

Correct answer

A. -94 15

Step-by-step solution

_ -3 ^0 x x+4 d x let x+4=t aligned & x=t-4 & d x= d t aligned when x=-3, t=1 when x=0, t=4 aligned & ₁^4(t-4) t ~d t= ₁^4 (t^ 3 / 2 -4 t^ 1 / 2 ) d t= [ 2 5 t^ 5 / 2 - 8 3 t^ 3 / 2 ]₁^4 & = 2 5 (32-1)- 8 3 (8-1)= 186-280 15 =- 94 15 aligned

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