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MHT CET20225 Aug 2022Morning ShiftMathematicsDefinite IntegrationActual

If _a^b x^3 d x=0 and if _a^b x^2 d x= 2 3 , then a and b are respectively

Options

  1. A1,-1
  2. B-1,-1
  3. C1,1
  4. D-1,1

Correct answer

D. -1,1

Step-by-step solution

aligned & _a^b x^3 d x=0 and _a^b x^2 d x= 2 3 & [ x^4 4 ]_a^b=0 and [ x^3 3 ]_a^b= 2 3 & b^4 4 - a^4 4 =0 and b^3 3 - a^3 3 = 2 3 & a^4=b^4 and b^3-a^3=2 aligned which is satisfied by a =-1 and b =1

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