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:
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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