BITSAT2011MathematicsIndefinite IntegrationActual
Evaluate ( x^2 x^2-1 d x )
Options
- A(x- 1 2 ( x -1 x +1 )+ c )
- B(x+ 1 2 ( x+1 x-1 )+c )
- C(x+ 1 2 ( x -1 x +1 )+ c )
- DNone of these
Correct answer
C. (x+ 1 2 ( x -1 x +1 )+ c )
Step-by-step solution
Given integral (I= (1+ 1 x^2-1 ) d x ) ( aligned & = d x+ d x (x-1)(x+1) & =x+ 1 2 ( 1 x-1 - 1 x+1 ) d x=x+ 1 2 ( x-1 x+1 )+c aligned )