Both kinds of integrals are essentially calculations of areas under curves. In a definite integral the surface whose area is to be calculated is planar. In a line integral the surface whose area to be calculated might occupy two or more dimensions. You might be interested in the animated diagrams in the wikipedia article for the line integral.
gemetrically the definite integral gives the area under the curve of the integrand. explain the corresponding interpretation for a line integral.
The portion of a line that lies between two definite endpoints is called a line segment. Unlike a line, which extends infinitely in both directions, a line segment has a fixed length and is defined by its two endpoints. It can be represented visually as a straight path connecting these points.
There is no difference...same thing
The part of a line between two points is called a line segment. It includes the two endpoints and all the points that lie on the line between them. A line segment has a definite length, unlike a line that extends infinitely in both directions.
lane means lane and line means line
gemetrically the definite integral gives the area under the curve of the integrand. explain the corresponding interpretation for a line integral.
Yes there is a large difference between the two. A line has no end and a line segment ends.
Finding the area under a curve or the length of a line segment. These are real life uses, not just fun in your math class.
What is the difference between a trend line and a line of best fit
The portion of a line that lies between two definite endpoints is called a line segment. Unlike a line, which extends infinitely in both directions, a line segment has a fixed length and is defined by its two endpoints. It can be represented visually as a straight path connecting these points.
its difference
A line does not have a definite length .It extends to infinity.Whereas a line segment has a definite measure.
A line does not have a definite length .It extends to infinity.Whereas a line segment has a definite measure.
It means that the integral is calculated along a given line, which may be curved.
The difference between a perpendicular line and a parallel line is that a perpendicular line crosses or joins, while a parallel line doesn't touch at all.
There is no difference...same thing
The part of a line between two points is called a line segment. It includes the two endpoints and all the points that lie on the line between them. A line segment has a definite length, unlike a line that extends infinitely in both directions.