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Simple Line Integral Problem

  • Thread starter jegues
  • Start date
  • #1
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Homework Statement



Evaluate the line integral,

[tex]\int_{C}x^{2}yzds, \text{ where C is the curve } z = x + y, \quad x + y + z = 1\text{ from }(1,\frac{-1}{2},\frac{1}{2}) \text{ to } (-3, \frac{7}{2}, \frac{1}{2})[/tex]

Homework Equations





The Attempt at a Solution



Here's my attempt at the problem,

attachment.php?attachmentid=31302&stc=1&d=1294959785.jpg


It lists the correct answer as, [tex]\frac{37\sqrt{2}}{3}[/tex] solved with different parametric equations and bounds for t as well.

What am I doing wrong?
 

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Answers and Replies

  • #2
LeonhardEuler
Gold Member
859
1
I see one problem right away:
[tex]\sqrt{(1)^{2}+(-1)^{2}} \ne 1[/tex]
 

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