What is the Significance of dx in Integrals?

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The term "dx" in integrals signifies the variable of integration, indicating the specific variable over which the integral is performed. It originates from the definition of an integral, which involves summing the function values multiplied by an infinitesimally small interval. This concept is rooted in Riemann sums, where the interval becomes infinitesimal as dx approaches zero. The process effectively entails performing an infinite number of summations over the product of function values and interval lengths. Understanding dx is crucial for grasping the fundamental principles of integration in calculus.
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What is dx mean in intagral?
 
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that x is the variable that you perform the integral over. Variable of integration.

It comes from the defintion of integral, that you sum over the function value multiplying it with a very very small x-intervall (length multiplied with height). Riemann summary. If we make the intervall infinitesimal (dx), the we have to do, in practice, an infinite amount of summations over these "function value" * "length of intervall"

http://en.wikipedia.org/wiki/Integral
 

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