imo class 12 definite integration

If f(x) is a continuous function and F(x) is its anti-derivative, then according to the Fundamental Theorem of Calculus, ∫[a to b] f(x) dx is equal to:

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If f(x) is a continuous function and F(x) is its anti-derivative, then according to the Fundamental Theorem of Calculus, ∫[a to b] f(x) dx is equal to:

  • A. F(b) − F(a)
  • B. F(a) − F(b)
  • C. F(b) + F(a)
  • D. F(a) + F(b)

Answer: A) F(b) − F(a)

Explanation: By the Second Fundamental Theorem of Calculus, ∫[a to b] f(x) dx = F(b) − F(a), where F is an anti-derivative of f.

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