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The Fundamental Theorem of Calculus

The Fundamental Theorem of Calculus

Example 1

Build an antiderivative F(x) of f(x) = eex satisfying F(8) = 0.

Example 2

Build an antiderivative F(x) of f(x) = eex satisfying F(8) = -1.

Example 3

Build an antiderivative of cos x that is 0 when x = 9.

Example 4

Build an antiderivative of sin (x2) that is 3 when x = 8.

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