Line integrals - University of Alberta
Line integrals - University of Alberta
Line integrals - University of Alberta
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MATH 209—<br />
Calculus,<br />
III<br />
Volker Runde<br />
<strong>Line</strong> <strong>integrals</strong><br />
in R 2<br />
Types <strong>of</strong> line<br />
<strong>integrals</strong><br />
<strong>Line</strong> <strong>integrals</strong><br />
in R 3<br />
<strong>Line</strong> <strong>integrals</strong><br />
<strong>of</strong> vector fields<br />
<strong>Line</strong> <strong>integrals</strong> in R 3 , I<br />
As in R 2 . . .<br />
�<br />
f (x, y, z) ds<br />
C<br />
�<br />
� b<br />
�dx<br />
= f (x(t), y(t), z(t))<br />
dt<br />
and. . .<br />
a<br />
� 2<br />
+<br />
� �2 dy<br />
+<br />
dt<br />
� �2 dz<br />
dt<br />
dt
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