IDEA SOLUTION OF MTH301 Don’t copy Line Integral:- In a line integral for example, we multiply the value of function at a point with the infinitesimal length at a point.Its as if we are calculating the total mass at along the line, where the function is the mass/ unit length of curve. A line integral (sometimes called a path integral, contour integral, or curve integral) is an integral where the function to be integrated is evaluated along a curve. Surface Integral:- A surface integral is a definite integral taken over a surface (which may be a curved set in space); it can be thought of as the double integral analog of the line integral. Given a surface, one may integrate over its scalar fields (that is, functions which return numbers as values), and vector fields (that is, functions which return vectors as values). Surface integrals have applications in physics, particularly with the classical theory of electromagnetism Volume Integral:- A volume integral refers to an integral over a 3-dimensional domain.Volume integral is a triple integral of the constant function 1, which gives the volume of the region D, that is, the integral A volume integral is an integral of three variables.
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