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MHT CET20249 May 2024Evening ShiftMathematicsIndefinite IntegrationActual

If x- x 8- 2 x ~d x= asin ⁻¹ ( x+ x b )+c Where c is a constant of integration, then the ordered pair ( a , b ) is equal to

Options

  1. A(1,3)
  2. B(3,1)
  3. C(-1,3)
  4. D(-3,1)

Correct answer

A. (1,3)

Step-by-step solution

aligned Let I & = x- x 8- 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= dt aligned I & = d t 3^2-t^2 d t & = ⁻¹ ( t 3 )+c & = ⁻¹ ( x+ x 3 )+c & (a, b)=(1,3) aligned

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