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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

∫ ( ( 6x + 6 4x + 15 2x + 10)/(10 ^2 x + 5 x 3x + x 5x) ) dx = f(x)...

∫(cos⁡6x+6cos⁡4x+15cos⁡2x+1010cos⁡2x+5cos⁡xcos⁡3x+cos⁡xcos⁡5x)dx=f(x)+C\int \left( \frac{\cos 6x + 6\cos 4x + 15\cos 2x + 10}{10\cos^2 x + 5\cos x \cos 3x + \cos x \cos 5x} \right) dx = f(x) + C, then f(10)f(10) is equal to:

Options

  1. A20
  2. B10
  3. C2sin⁡102\sin 10
  4. D2cos⁡102\cos 10

Correct answer

A. 20

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