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The Fundamental Theorem of Calculus

The Fundamental Theorem of Calculus

The Fundamental Theorem of Calculus: Did Isaac Newton Enjoy Figs? True or False

1. Let  For what values of x does F(x) = 0? -> x = 0
2. Let . For which values of x is F(x) positive? -> x > 1
3. Define a function F(x) by

Which of the following best represents the value F(π)? ->

4. Let f(x) be a continuous function. The second Fundamental Theorem of Calculus says that -> the function is an antiderivative of f(x).
5. Which of the following is NOT an antiderivative of eex? ->
6. Which of the following is an antiderivative of cos (x2) that equals 2 when x = π? ->
7. Let  and . Then  -> 0
8. The equation means -> F is an antiderivative of f.
9. -> cos (x2)
10. -> ex6 × 3x2