AP EAMCET202318 May 2023Evening ShiftMathematicsDefinite IntegrationActual
If d x 1+ x = ( x 2 - )+C , then =
Options
- A2
- B4
- C6
Correct answer
B. 4
Step-by-step solution
d x 1+ x = ( x 2 - )+c aligned & Now, d x 1+ x = 1- x 1- ^2 x d x+c & = 1- x ^2 x d x+c & = ( ^2 x- x x ) d x+c= x- x+c & = x x - 1 x +c= x-1 x +c & = - ( x 2 - x 2 )^2 ( ^2 x 2 - ^2 x 2 ) +c= - ( x 2 - x 2 ) x 2 + x 2 & =- ( 4 - x 2 )+c= ( x 2 - 4 )+c aligned From eq ^ n (i) & (ii) = 4