A similar formula holds for a space curve, as indicated in Theorem 15.4. Theorem 15.4 Evaluation of a Line Integral as a Definite Integral Let f be continuous in a region containing a smooth curve C....

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Describe how reversing the orientation of a curve C affects the implementation of Theorem 15.4 in the text

A similar formula holds for a space curve, as indicated in Theorem 15.4.<br>Theorem 15.4 Evaluation of a Line Integral as a Definite Integral<br>Let f be continuous in a region containing a smooth curve C. If C is given by r (t) = x (t) i+ y (t) j, where<br>a <t<b, then<br>= f (x (t), y (t)) V la' (t)]² + [/ (t)]° dt.<br>.<br>|f (x, y) ds<br>C<br>a<br>If C is given by r (t) = x (t) i+ y (t) j + z (t) k, where a <t< b, then<br>f (x, y, z) ds<br>f (x (t), y (t), z (t)) V læ' (t)]° + [y (t)] + [2 (t)]² dt.<br>

Extracted text: A similar formula holds for a space curve, as indicated in Theorem 15.4. Theorem 15.4 Evaluation of a Line Integral as a Definite Integral Let f be continuous in a region containing a smooth curve C. If C is given by r (t) = x (t) i+ y (t) j, where a

Jun 03, 2022

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A similar formula holds for a space curve, as indicated in Theorem 15.4. Theorem 15.4 Evaluation of a Line Integral as a Definite Integral Let f be continuous in a region containing a smooth curve C....

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