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Fundamental theorem of calculus (view source)
Revision as of 21:10, December 30, 2008
, 21:10, December 30, 2008→Part 2: added an equation that was accidentally deleted earlier
:<math>f(x) = F'(x)</math>
:<math>f(x) = F'(x)</math>
<br />Then:
<br />Then:
:<br />The second part begins with what we know from part 1.
:<math>\int_a^b f(x)dx = F(b) - F(a)</math>
<br />The second part begins with what we know from part 1.
<br />It then states that the definite integral of the function <math>f</math> from <math>a</math> to <math>b</math> is equal to <math>F</math> evaluated at <math>b</math> minus <math>F</math> evaluated at <math>a</math>.
<br />It then states that the definite integral of the function <math>f</math> from <math>a</math> to <math>b</math> is equal to <math>F</math> evaluated at <math>b</math> minus <math>F</math> evaluated at <math>a</math>.