About Integration
Learn how to use integration to find areas, volumes and other useful things by adding slices of a function. See examples, rules, notation and practice problems with solutions.
But we don't have to add them up, as there is a "shortcut", because . finding an Integral is the reverseof finding a Derivative. (So you.
After the Integral Symbol we put the function we want to find the integral of (called the Integrand), and then finish with dxto mean the slices go in the x direction (and approach zero in width). And here is how we write the answer: .
Let us use a tap to fill a tank. The input (before integration) is the flow ratefrom the tap. We can integrate that flow (add up all the little bits of water).
We wrote the answer as x2 but why +C? It is the "Constant of Integration". It is there because of all the functions whose derivative is 2x: 1.
In , an integral is the continuous analog of a , which is used to calculate , , and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operations of ,the other being . Integration was initially used to solve problems in mathematics and , such as finding the area under a curve, or determini.
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About Integration video introduction
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