imo class 12 indefinite integration

∫cos(5x − 1) dx = ?

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#IMO#Class 12#Mathematics#Indefinite Integration#mathematical-reasoning

∫cos(5x − 1) dx = ?

  • A. (1/5)sin(5x−1) + C
  • B. 5sin(5x−1) + C
  • C. −5sin(5x−1) + C
  • D. −(1/5)sin(5x−1) + C

Answer: A) (1/5)sin(5x−1) + C

Explanation: Let u = 5x−1, du = 5dx. ∫cos u (du/5) = (1/5)sin u + C = (1/5)sin(5x−1) + C.

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