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Most Important Selected Qs for JEE AdvancedMathematicsIndefinite Integration

If (x-1) d x x^2 2 x^2-2 x+1 = f(x) g(x) +c then

Options

  1. Af(x)=2 x^2-2 x+1
  2. Bg(x)=x+1
  3. Cf(x)= 2 x^2-2 x
  4. Dg(x)=x

Correct answer

D. g(x)=x

Step-by-step solution

1= x-1 x^3 2- 2 x + 1 x^2 d x Put 2- 2 x + 1 x^2 =t^2 ( 2 x^2 - 2 x^3 ) d x=2 t d t I = ₁^ t dt I=t+cI= 2- 2 x + 1 x^2 +c1= 2 x^2-2 x+1 x +c

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