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The value of the definite integral Ι = ∫ - 1 1 ln ⁡ 2 - s i n 3 x 2 + s i n 3 x d x is equal to

Options

  1. Aln ⁡ 4
  2. Bln ⁡ 2
  3. C0
  4. Dln ⁡ 1 2

Correct answer

C. 0

Step-by-step solution

Let, ln ⁡ 2 - s i n 3 x 2 + s i n 3 x = f x Then, f - x = ln ⁡ 2 + s i n 3 x 2 - s i n 3 x = - ln ⁡ 2 - s i n 3 x 2 + s i n 3 x = - f x Hence, ∫ - 1 1 f x d x = 0

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