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, VIII<br />
Example<br />
Evaluate �<br />
x = 4 − y 2 from (−5, −3) to (0, 2).<br />
The parametric equations are<br />
C y 2 dx + x dy where C is the arc <strong>of</strong> the parabola<br />
x = 4 − t 2 , y = t, t ∈ [−3, 2].
Change language