MTH 301
Topic:
Discuss the difference between line, surface and volume
integrals and exemplify with their applications.
Comments:
1)
Line integral is an integral
where the function to be integrated is evaluated along a curve. The function to
be integrated may be a scalar field or a vector field. The value of the line
integral is the sum of values of the field at all points on the curve, weighted
by some scalar function on the curve. The line integral finds the work done on
an object moving through an electric or gravitational field. It is evaluated on
curve, x=(t), y=(t) and z=z(t).
Line integral of a scalar field:
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