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COMEDK2020MathematicsIndefinite Integration

The value of x²+1 x²-1 d x is

Options

  1. A( x+1 x-1 )+C
  2. B( x-1 x+1 )+C
  3. C(x²-1 )+C
  4. Dx+ ( x-1 x+1 )+C

Correct answer

D. x+ ( x-1 x+1 )+C

Step-by-step solution

Let I= x²+1 x²-1 d x= x²-1+2 x²-1 d x = (1+ 2 x²-1 ) d x=x+2 1 2 | x-1 x+1 |+C =x+ | x-1 x+1 |+C

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