imo class 12 indefinite integration

Find ∫ 5ˣ dx

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

Find ∫ 5ˣ dx

  • A. 5ˣ / (log 5) + C
  • B. 5ˣ (log 5) + C
  • C. 5^(x+1) / (x+1) + C
  • D. x(5^(x-1)) + C

Answer: A) 5ˣ / (log 5) + C

Explanation: The standard formula for ∫ aˣ dx is aˣ / (log a) + C. Hence, ∫ 5ˣ dx = 5ˣ / (log 5) + C.

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