-Calculus- Integrals.. What is the purpose of integrals? What do they do? How do you find them? Use general examples of equations of math :D Please provide details ..
make me
Finding areas.
I found one! \[\LARGE \int\limits\]
Area and distances
Could you give an example of an integral of an equation or a function?..Like how to find it..
They are anti-derivatives. Just like how factoring is anti-multiplication. So the simplest ones are applications of the derivative rules in reverse with an unknown constant term.
The purpose of an integral is to sum over a an infinite number of infinitesimally sized cross-sections.
In the pure math world integrals are used to find the area under a curve on a graph. In physics many of the formulas that are used are derived from other formulas using integrals. In many of the formulas dealing with electric fields and forces integrals are used to make a complex formula more simple in specific cases. For example if you have a charged particle inside of a sphere the maginitude of the electric field outside of the sphere is normally a very complex formula. Another formula must be calculated for use inside of the sphere. But it just so happens that the formula for the inside of the sphere is the integral of the formula for outside the sphere.
An example would be this: Say we have \[\int\limits_{0}^{2} 2x ~dx\] We have to find the area under the curve: |dw:1381564529524:dw|
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