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MHT CET202123 Sep 2021Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

d x 32-2 x^2 =A (4-x)+B (4+x)+c , then the value of A and B are respectively (where c is a constant of integration)

Options

  1. A-1 8 , 1 8
  2. B1 8 , -1 8
  3. C-1 16 , 1 16
  4. D1 8 , 1 8

Correct answer

C. -1 16 , 1 16

Step-by-step solution

Let I= d x 32-2 x^2 = 1 2 [ 1 2(4) | 4+ x 4- x | ]+ c = 1 16 [ |4+ x |- |4- x |]+ c Comparing with given data we get A = -1 16 , ~B = 1 16

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