MathProblemsBank

i.4.26 Curvilinear integrals

Condition: Find the curvilinear integral of the vector \( \vec{a}=y z \vec{\imath}+\frac{z^{2}}{x} \vec{\jmath}+\frac{y^{2}}{x} \vec{k} \) along the arc of a circle \( x=4 ; \quad y=4 \cos t ; \quad z=4 \sin t \) lying in the first octant from the point \( A(4 ; 4 ; 0) \) to the point \( B(4 ; 0 ; 4) \).

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