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AP EAMCET202125 Aug 2021Evening ShiftMathematicsIndefinite IntegrationActual

d x 7-6 x-x^2 is equal to

Options

  1. A⁻¹ ( x+3 4 )+c
  2. B| x+3 4 |+c
  3. C⁻¹ ( x+3 4 )+c
  4. D1 2 ⁻¹ ( x+3 4 )+c

Correct answer

C. ⁻¹ ( x+3 4 )+c

Step-by-step solution

I= d x 7-6 x-x^2 aligned I & = d x 7-6 x-x^2+9-9 & = d x (4)^2-(x+3)^2 d x a^2-x^2 = ⁻¹ ( x a )+C . I & = ⁻¹ ( x+3 4 )+C aligned

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