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Manipal MET2017MathematicsIndefinite Integration

d x x^2+4 x+13 is equal to

Options

  1. A(x^2+4 x+130 )+c
  2. B1 3 ⁻¹ ( x+2 3 )+c
  3. C(2 x+4)+c
  4. D1 x^2+4 x+13 +c

Correct answer

B. 1 3 ⁻¹ ( x+2 3 )+c

Step-by-step solution

aligned & Let I= d x x^2+4 x+13 & = d x x^2+4 x+4+3^2 = d x (x+2)^2+3^2 . & = 1 3 ⁻¹ ( x+2 3 )+c aligned

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