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MHT CET2017MathematicsIndefinite Integration

If ∫ 1 9 - 16 x 2 d x = α sin - 1 ⁡ ( β x ) + c , then α + 1 β =

Options

  1. A1
  2. B7 12
  3. C19 12
  4. D9 12

Correct answer

A. 1

Step-by-step solution

∫ 1 9 - 16 x 2 d x = α sin - 1 ⁡ ( β x ) + c ∫ 1 3 2 - ( 4 x ) 2 d x = 1 4 sin - 1 ⁡ 4 x 3 + c α = 1 4 β = 4 3 α + 1 β = 1 4 + 3 4 = 1

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