Wrestling with the Fundamental Theorem of Calculus
Wrestling with the Fundamental Theorem of Calculus
Wrestling with the Fundamental Theorem of Calculus
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The <strong>Fundamental</strong> <strong>Theorem</strong> <strong>of</strong> <strong>Calculus</strong>:<br />
1. If F' ( x)= f ( x)<br />
, <strong>the</strong>n<br />
f x dx F b F a<br />
2.If f does not have a jump discontinuity at<br />
x, <strong>the</strong>n<br />
d<br />
dx<br />
!<br />
x<br />
a<br />
"<br />
b<br />
a<br />
() = ( )<br />
f t dt f x<br />
( ) = ( )! ( )<br />
.<br />
.