Determine a function f such that F= and calculate [Fdy, Where F(x, y, z) = sin yi+(x cos y+cos z) İ−y sinzk and y(t) = (sint, t, 2t), 0≤ t ≤ 2. JL
I wanted to know if the answer gives 2 pi
What is Line Integral:
A line integral in mathematics is an integral in which the function to be integrated is assessed along a curve. Additionally, the phrases contour integral and path, curve, and curvilinear integral are used. However, line integrals in the complex plane are normally the only ones that utilise the term contour. The function that needs to be integrated could be a vector or scalar field. The line integral's value is the total of the field's values at each point along the curve, weighted by a scalar function. The line integral can be distinguished from simpler integrals defined on intervals by this weighting.
Given:
Given function is, and the path of integration is .
To Determine:
We determine the vector potential function and then using the potential function, we determine .
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