Agreed. Integration is the area under the curve the d/dx function makes

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Well I get that but I just struggle to integrate things correctly. Especially if involves fractions or trig functions. I can usually make my way through but I’m so slow.

I also still have no idea what dx means and why it just goes away when you integrate

It goes away just because its part of the notation of the function and once you've done the operation that descriptor goes away because you now have juat the result. You get the swirl (operation) with its limits = to something and the dx literally means add the area of all the pieces the function makes within these limits.