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MHT CET2018MathematicsIndefinite Integration

If ∫ d x 16 - 9 x 2 = A sin - 1 ⁡ B x + C then A + B =

Options

  1. A9 4
  2. B19 4
  3. C3 4
  4. D13 12

Correct answer

D. 13 12

Step-by-step solution

I = ∫ d x 4 2 − ( 3 x ) 2 I = 1 3 sin − 1 ( 3 x 4 ) + C A + B = 1 3 + 3 4 = 4 + 9 12 = 13 12

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