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MHT CET202123 Sep 2021Morning ShiftMathematicsIndefinite IntegrationActual

If ( x- x) 8- 2 x d x= 1 p [ 3+ x+ x 3- x- x ]+c , then p =( Where c is a constant of integration)

Options

  1. A12
  2. B1 6
  3. C6
  4. D3

Correct answer

C. 6

Step-by-step solution

aligned & Let I= x- x 8- 2 x d x & = x- x 9-1- 2 x d x= x- x 9-(1+ 2 x) d x & = x- x (3)^2-( x+ x)^2 d x aligned Put x+ x=t ( x- x) d x=d t aligned & I= d t (3)^2-(t)^2 d x= 1 3(2) | 3+t 3-t |+c & = 1 6 | 3+ x+ x 3- x- x |+c p=6 aligned

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