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MHT CET2010MathematicsIndefinite Integration

1 16 x²+9 d x is equal to

Options

  1. A1 3 ⁻¹ ( 4 x 3 )+c
  2. B1 4 ⁻¹ ( 4 x 3 )+c
  3. C1 12 ⁻¹ ( 4 x 3 )+c
  4. D1 12 ⁻¹ ( 3 x 4 )+c

Correct answer

C. 1 12 ⁻¹ ( 4 x 3 )+c

Step-by-step solution

aligned 1 16 x²+9 d x &= 1 16 1 x²+ ( 3 4 )² d x &= 1 16 4 3 ⁻¹ ( x 3 / 4 )+c &= 1 12 ⁻¹ ( 4 x 3 )+c aligned

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