Calculate the integral of f(x, y, z) = 6x² + 6y² + z² over the curve c(t) = (cost, sin t, t) for 0 ≤ t≤ π. Se(6x2+6y²+ z) ds =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 21E
Question
Calculate the integral of f(x, y, z) = 6x² + 6y² + z² over the curve c(t) = (cost, sin t, t) for 0 ≤ t≤ π.
Se(6x2+6y²+ z) ds
=
Transcribed Image Text:Calculate the integral of f(x, y, z) = 6x² + 6y² + z² over the curve c(t) = (cost, sin t, t) for 0 ≤ t≤ π. Se(6x2+6y²+ z) ds =
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