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The value of the integral ∫ sin ⁡ x x 6 x c o s x - sin ⁡ x x 2 d x is (where, c is an arbitrary constant)

Options

  1. As i n x x + c
  2. Bs i n x x 2 + c
  3. Cs i n 7 x x 7 + c
  4. Ds i n 7 x 7 x 7 + c

Correct answer

D. s i n 7 x 7 x 7 + c

Step-by-step solution

Put s i n x x = t . Then, I = ∫ t 6 d t = t 7 7 + c

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