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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
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)
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