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1. Calculate the data line integrals (1-4)
Where LOA - arc of the cubic parabola y = x3 from point O (0, 0) to the point A (1, 1).
Where LOB - a line segment connecting the points O (0, 0) and B (2, 2)
Where L - the arc of the Archimedes spiral ρ = 2φ, enclosed within a circle of radius R centered at the pole.
Where L - cycloid arc x = a (t - sint), y = a (1 - cost), π / 6 ≤ t ≤ π / 3
Where LOA - arc of the cubic parabola y = x3 from point O (0, 0) to the point A (1, 1).
Where LOB - a line segment connecting the points O (0, 0) and B (2, 2)
Where L - the arc of the Archimedes spiral ρ = 2φ, enclosed within a circle of radius R centered at the pole.
Where L - cycloid arc x = a (t - sint), y = a (1 - cost), π / 6 ≤ t ≤ π / 3
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Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.
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