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MHT CET202314 May 2023Evening ShiftMathematicsIndefinite IntegrationActual

d x ^2 x-1 = 1 ~A | 2 x+ 2 x|- x ~B + c , (where c is constant of integration), then A + B =

Options

  1. A-6
  2. B6
  3. C-5
  4. D5

Correct answer

B. 6

Step-by-step solution

aligned d x ^2 x-1 & = d x ^2 x- ^2 x ^2 x & = ^2 x 2 x ~d x & = 1- 2 x 2 2 x ~d x & = 1 2 ( 2 x-1) d x & = 1 2 ( | 2 x+ 2 x| 2 -x )+ c & = 1 4 | 2 x+ 2 x|- x 2 + c A =4, ~B & =2 A + B & =6 aligned

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