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 />
Examples, XIX<br />
Example (continued)<br />
Therefore:<br />
�<br />
C<br />
F · dr =<br />
=<br />
� 1<br />
0<br />
� 1<br />
0<br />
= t4<br />
4<br />
= 27<br />
28 .<br />
t 3 + 2t 6 + 3t 6 dt<br />
t 3 + 5t 6 dt<br />
+ 5t7<br />
7<br />
�<br />
�<br />
�<br />
�<br />
t=1<br />
t=0
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