imo class 12 indefinite integration

Evaluate ∫sec x dx.

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Evaluate ∫sec x dx.

  • A. ln|sec x + tan x| + C
  • B. ln|sec x − tan x| + C
  • C. tan x + C
  • D. sec x tan x + C

Answer: A) ln|sec x + tan x| + C

Explanation: Standard integral: Multiply numerator and denominator by (sec x + tan x). Then substitute u = sec x + tan x. Result is ln|sec x + tan x| + C.

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