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Geometrically the definite integral gives the area under the curve of the integrand Explain the corresponding interpretation for a line integral?
gemetrically the definite integral gives the area under the curve of the integrand. explain the corresponding interpretation for a line integral.
What is the difference between definite integral and line integral?
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.
Show that the line integral is independent of the path?
since the line integral depends on the two values upper & lower limits and the function to which we have to integrate. the values changes only when the upper & lower limits changes, whatever the path is.
How is Sol LeWitts line best described in his work Wall Drawing No 681C?
Analytical
What are Line integral Surface integral and Volume integral in simple words?
A line integral is a simple integral. they look like: integral x=a to b of (f(x)). A surface integral is an integral of two variables. they look like: integral x=a to b, y=c to d of (f(x,y)). or integral x=a to b of (integral y=c to d of (f(x,y))). The second form is the nested form. A pair of line integrals, one inside the other. This is the easiest way to understand surface integrals, and, normally, solve surface integrals. A volume integral is an integral of three variables. they look like: integral x=a to b, y=c to d, z=e to f of (f(x,y,z)). or integral x=a to b of (integral y=c to d of (integral z=e to f of f(x,y,z))). the above statement is wrong, the person who wrote this stated the first 2 types of integrals as regular, simple, scalar integrals, when line and surface integrals are actually a form of vector calculus. in the previous answer, it is stated that the integrand is just some funtion of x when it is actually usually a vector field and instead of evaluating the integral from some x a to b, you will actually be evaluating the integral along a curve that you will parametrize to get the upper and lower bounds of the integral. as you can see, these are a lot more complicated. looking at your question tho, i dont think you want the whole expanation on how to solve these problems, but more so what they are and what they are used for, because these can be a pain to solve and there are also several ways to solve them indirectly. line integrals have an important part in physics because they alow us to calculate things such as work that have vector values rather than just scalar values as you can use these integrals to describe a particles path along a curve in a force field. surface integrals help us calculate things like flux, or how fluid flows over a surface. if you want to learn more, look into things like greens theorem, or the divergence theorem. p.s. his definition of a surface integral is acutally how you find the volume of a region
Geometrically the definite integral gives the area under the curve of the integrand Explain the corresponding interpretation for a line integral?
gemetrically the definite integral gives the area under the curve of the integrand. explain the corresponding interpretation for a line integral.
What should an analytical essay be?
an interpretation of a piece of literature supported by evidence
What is the definition of line integral?
It means that the integral is calculated along a given line, which may be curved.
An analytical essay should be?
The introduction to an analytical essay should draw attention to the topic.
Relevance of online analytical processing to a manager?
relevance of on-line analytical processing Relevance of online analytical processing to a manager?
How do you find a curved line distance?
Use a line integral.
What is the difference between definite integral and line integral?
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.
What is a classical line in art?
the connection between analytical (classical) line and static compositions
Discuss line integral and its real life applications?
A line integral can evaluate scalar and vector field functions along a curve/path. When applied on vector field, line integral is considered as measure of the total effect of the vector field along a specific curve whereas in scalar field application, the line integral is interpreted as the area under the field carved out by a particular curve.Line integral has many applications in physics. In mechanics, line integral is used to determine work done by a force in moving an object along a curve. In circuit analysis, it is used for calculating voltage.
How do you calculate the length of the curve using calculus?
Do a line integral.
Show that the line integral is independent of the path?
since the line integral depends on the two values upper & lower limits and the function to which we have to integrate. the values changes only when the upper & lower limits changes, whatever the path is.
What are three phases of laboratory testing?
The three phases of laboratory testing are pre-analytical phase, analytical phase, and post-analytical phase. The pre-analytical phase refers to all the steps taken prior to the actual testing of a specimen (e.g. specimen collection, transport, accessioning). The analytica phase includes the actual testing analysis. The post-analystical phase includes test reporting and interpretation.
