- #1
ashina14
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Homework Statement
Evaluate the integral
∫
(x2 − yz) dx + (y2 − xz) dy + (z2 − xy) dz, C(A→B)
where C(A → B) is a piece of the helix
x = a cos φ, y = a sin φ, z = h φ, (0 ≤ φ ≤ 2π),
2π
connecting the points A(a, 0, 0) and B(a, 0, h).
Homework Equations
[Hint: The problem could be tackled in different ways and, for one of them, Stokes’ theorem might be of some relevance.]
The Attempt at a Solution
acosφ =a, asinφ=0 therefore after subbing in for x, y and z I get:
Integral= ∫ a4 dx -(a2h φ)/2pi dy + (h2 φ2)/ 4 pi2 dz
But not sure what to do next