Line integrals - University of Alberta
Line integrals - University of Alberta
Line integrals - University of Alberta
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
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, XIII<br />
Example<br />
Let C = C1 ⊕ C2 with:<br />
C1 = line segment from (2, 0, 0) to (3, 4, 5),<br />
C2 = line segment from (3, 4, 5) to (3, 4, 0).<br />
Evaluate<br />
�<br />
y dx + z dy + x dz<br />
C �<br />
�<br />
= y dx + z dy + x dz +<br />
C1<br />
C2<br />
y dx + z dy + x dz.
Change language