
I.4.26 Curvilinear Integrals
Condition: Find the curvilinear integral of the vector \ (\ vec {a} = y z \ vec {\ iMath}+\ frac {z^{2}} {x} \ jMath}+\ frac {2}} {x} {x} {x} {x} {x} {x} {x} {x} {x} \ vec {k} \) according to the arc of a circle \ (x = 4; \ quad y = 4 \ cos t; \ quad z = 4 \ sin t \), lying in the first octress from the point \ (a (4; 4; 0) \) to the point \ (b (4; 0; 4) \).