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MHT CET20226 Aug 2022Morning ShiftMathematicsIndefinite IntegrationActual

If f ( x )= 1 x , g ( x )= 1 ( x )^2 (Where C is a constant of integration.)

Options

  1. A( x)^2+C
  2. Bx x+C
  3. Cx x +C
  4. D1 x +C

Correct answer

C. x x +C

Step-by-step solution

aligned & f(x)-g(x) d x= f(x) d x- g(x) d x & = 1 x d x- 1 ( x)^2 d x & = 1 x 1 d x- 1 ( x)^2 d x & = 1 x x- -1 ( x)^2 1 x x d x- 1 ( x)^2 d x & = x x + 1 ( x)^2 d x- d x ( x)^2 & = x x aligned

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