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The Lebesgue integral covers a wider variety of cases. Specifically, the definition of hte Riemann integral permits a finite number of discontinuities; the Lebesgue integral permits a countable infinity of discontinuities.
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Difference between integral and differential calculus?
Differential calculus is concerned with finding the slope of a curve at different points. Integral calculus is concerned with finding the area under a curve.
What is the relation between definite integrals and areas?
Consider the integral of sin x over the interval from 0 to 2pi. In this interval the value of sin x rises from 0 to 1 then falls through 0 to -1 and then rises again to 0. In other words the part of the sin x function between 0 and pi is 'above' the axis and the part between pi and 2pi is 'below' the axis. The value of this integral is zero because although the areas enclosed by the parts of the function between 0 and pi and pi and 2pi are the same the integral of the latter part is negative. The point I am trying to make is that a definite integral gives the area between a function and the horizontal axis but areas below the axis are negative. The integral of sin x over the interval from 0 to pi is 2. The integral of six x over the interval from pi to 2pi is -2.
What is the difference between M1 and M2?
What is the difference between M1 and M2?
What is the difference between an offer and acceptance?
difference between offer and acceptance?
What is the difference between offer and acceptance?
difference between offer and acceptance?
What is difference between integral pen drive and usb memory stick?
There is no difference
What is the difference between anti-derivative and integral?
there is no diffference, i think...
State the difference between particular solution and particular integral?
Particular integral is finding what the integral is for example the integral of 2x is x^2 + C. Finding the particular solution would be finding what C equals from the particular integral.
What is the difference between anti derivative and integral?
In simple language, derivative is rate of change of something and integral represents the area of a curve whose equation is known.
Difference between integral and differential calculus?
Differential calculus is concerned with finding the slope of a curve at different points. Integral calculus is concerned with finding the area under a curve.
What is the difference between range and integral range?
The range, usually of a function, is the set of value that the function can take. The integral range is a subset of the range consisting of integer values that the function can take.
What is the difference between triple integral and volume integral?
While I searching for the answer to this question, I totally confused. Atlast I reach in one thing that we may compute some volume integrals by using double integral but to evaluate a triple integral we should go through all the three integrals.
What is renewed integral evangelization?
renewed integral evangelization shows the difference between the pre-Vatican II and the post-Vatican II view. Renewed integral evangelization suggests that instead of being passive recipients of blessings, we set out and live out the Gospel.
What is the difference between integration and anti-derivatives?
An integral and an anti-derivative are the same thing. Integration means the process of finding the integral, just as anti-differentiation means the process of finding the anti-derivative.
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 are differeance between particular solution and particular integral?
What are differeance between particular solution and particular integral?
What is a difference between garage carport?
A carport can be a very simple structure with only a roof. A garage will have walls and can be an integral part of another building.
