APFIVE Fundamental Theorem of Calculus Statement
Which of the following correctly states the Fundamental Theorem of Calculus relating an antiderivative $$F(x)$$ of a function $$f(x)$$ to its definite integral?
A
If $$F'(a)=f(a)$$, then $$\int_{a}^{b} f(x)\,dx = f(b)-f(a)$$.
B
If $$F(x)=f'(x)$$, then $$\int_{a}^{b} f(x)\,dx = F(b) + F(a)$$.
C
If $$F(x)=f(x)$$, then $$\int_{a}^{b} f(x)\,dx = F(a) - F(b)$$.
D
If $$F'(x)=f(x)$$, then $$\int_{a}^{b} f(x)\,dx = F(b) - F(a)$$.
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