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AP EAMCET2014MathematicsIndefinite Integration

If d x ^3 x x =g(x)+c , then g(x) is equal to

Options

  1. A-2 x
  2. B-2 x
  3. C2 x
  4. D2 x

Correct answer

B. -2 x

Step-by-step solution

Given, d x ^3 x x =g(x)+c Now, aligned d x ^4 x x & = d x ^2 x x & = cosec ^2 x x d x aligned Put x=t array rlrl - cosec ^2 x d x & =d t - 1 t d t & =- t^ 1 / 2 1 / 2 +c & =-2 x +c & =- 2 x +c & g(x) & =- 2 x array

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