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AP EAMCET202124 Aug 2021Morning ShiftMathematicsIndefinite IntegrationActual

x^3-x^2+x-1 x-1 d x is equal to

Options

  1. Ax^3 3 -x+c
  2. Bx^2 3 +x+c
  3. Cx^3 3 +x+c
  4. D2 x+c

Correct answer

C. x^3 3 +x+c

Step-by-step solution

aligned I & = x^3-x^2+x-1 x-1 d x & = x^2(x-1)+(x-1) (x-1) d x= (x-1) (x^2+1 ) (x-1) d x I & = (x^2+1 ) d x I= x^3 3 +x+C aligned

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