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What does the dx mean in an integral? [duplicate] The " dx d x " lets people think informally that you're multiplying a height, f(x) f (x), by an "infinitesimal width", dx d x, and then taking an infinite sum
如何理解dx等于Δx? - 知乎 二、 将 dx 当做上述第2种认识 即对 x进行运算：dx=f' (x)\Delta x= (x)'\Delta x=\Delta x 只是自己的一套思考，为了方便理解 dx=\Delta x ，如有不合理之处，概不负责。 重新翻了翻教材。 高等数学（同济大学第7版），第二章第五节例2的解答中，有更简单粗暴的理解。
calculus - What is the true, formal meaning and reason for the dx . . . Prior to the 1800s, "dx" was considered an "infinitesimal" - a number so close to zero that, for some things, it can be considered actually zero, but wasn't exactly zero In the 1800s, the failure to formalize infinitesimals (and, in my opinion, the growing rise of materialism) led to the belief that infinitesimals were invalid mathematical
What is $dx$ in integration? - Mathematics Stack Exchange If f(x) f (x) is in meters per second and dx d x is in seconds, then f(x)dx f (x) d x is in meters, and so is the integral These things should be dimensionally correct, and are not so without the " dx d x " Sometimes one has a dot-product or a cross-product or a matrix product or some other sort of product between f(x) f (x) and dx d x