Question
Evaluate the line integral, where $ C $ is the given curve.$ \displaystyle \int_C xe^{yz} \, ds $, $ C $ is the line segment from $ (0, 0, 0) $ to $ (1, 2, 3) $
Step 1
Since $ C $ is the line segment from $ (0, 0, 0) $ to $ (1, 2, 3) $, we can parametrize it as follows: \[ x = t, \quad y = 2t, \quad z = 3t, \quad 0 \leq t \leq 1. \] Show more…
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