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dE_logics
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Suppose in an integrated function f(x), its a necessity to have dx, why is it that all x in that function is not replaced by dx?...or is it?
"Dx" represents the infinitesimal change in the independent variable in the function being integrated. It is used to calculate the area under the curve of the function.
"Dx" is typically calculated using the limit definition of a derivative, where it is equal to the change in the independent variable divided by the change in the function's output.
Yes, "Dx" can be either positive or negative, depending on the direction of change in the independent variable. When the function is increasing, "Dx" is positive, and when the function is decreasing, "Dx" is negative.
"Dx" is a crucial component in calculating the area under the curve of a function. It allows us to break the function into infinitely small segments and calculate the area of each segment, then sum them together to find the total area under the curve.
"Dx" is a constant value in the integration process and cannot be changed or manipulated. It is an essential part of the mathematical definition of integration and is necessary for accurately calculating the area under the curve of a function.