why is an anti-derivative needed for integration
In: 0
The derivative of a function its its change over time.
The integral changes based on the value of the function. If you’re integrating something with the value of 1, then at that point the integral will have a slope of 1.
In this way the integral is *almost* the opposite of the derivative. There is something missing, though. Take f(x)=1 as an example. The derivative is 0. Taking the anti-derivative of f(x)=0 gives us f(x)=0 again, so we aren’t actually back where we started until we add a constant.
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