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AP EAMCET202422 May 2024Morning ShiftMathematicsIndefinite IntegrationActual

1 x^2 ( 1+x^2 ) d x=

Options

  1. A- x^2+1 x +c
  2. Bx^2+1 x +c
  3. C- x^2-1 x +c
  4. Dx^2-1 x +c

Correct answer

A. - x^2+1 x +c

Step-by-step solution

I= 1 x^2 ( 1+x^2 ) d x I= d x x^3 1+ 1 x^2 Let 1+ 1 x^2 =t^2 d x x^3 =-t d t aligned & I=- t d t t I=-t+c & I= -1 x 1+x^2 +c aligned

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