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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

I = ∫ ( ^8 x - ^8 x)/(1 - 2 ^2 x ^2 x) dx is equal to :

I=∫sin⁡8x−cos⁡8x1−2sin⁡2xcos⁡2xdxI = \int \frac{\sin^8 x - \cos^8 x}{1 - 2\sin^2 x \cos^2 x} dx is equal to :

Options

  1. Asin⁡2x+C\sin 2x + C
  2. Bsin⁡2x2+C\frac{\sin 2x}{2} + C
  3. C−sin⁡2x2+C\frac{-\sin 2x}{2} + C
  4. D−2sin⁡2x+C-2\sin 2x + C

Correct answer

C. −sin⁡2x2+C\frac{-\sin 2x}{2} + C

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