y, z) = x*z and let C be the curve given by r(1) = (2e', 2V21, ) för 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:Let f(x, y, z) = x²z and let C be the curve given by r(1) = (2e', 2/21,2e) for 0 < i< 3. Compute ſe f ds.
(Use symbolic notation and fractions where needed.)
fds D
Expert Solution
Step 1
In the given question, the concept of line integral is applied,
Line Integral
The function to be integrated is evaluated along a curve in a line integral. A route integral, curve integral, or curvilinear integral are all terms for the same thing. The function to be integrated is determined along a curve in the coordinate system in a line integral. A scalar field or a vector field can be integrated. By combining the values of all the points on the vector field, the line integral's value may be calculated.
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