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Whats the scoop on Integration, derivatives, anti-derivatives

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Whats the scoop on Integration, derivatives, anti-derivatives and differentiation?

I hear these terms often but have never taken calculus.

Could someone give me an overview?
>>
>>8971050
You're basically asking for an overview of a typical semester's content (inb4 >taking Calc I in college and some story about how smart you are) which isn't gonna tell you much or stick. If you really wanna know what they mean you're gonna have to crack open a book like most people did and come up with some specific questions.
>>
Derivatives= rate of change
Differentiation =finding a derivative
Integral=area under a curve
Antderivative= indefinite integral
>>
>>8971061
The antiderivative of f is defined as the function whose derivative is f.
It just happens this is the area under the curve
>>
>>8971061
just what I was looking for.

what is an indefinite integral?
>>
>>8971069
The indefinite integral is a function that describes the area under a curve, which is also the opposite of a derivative
>>
>>8971078
thanks.

I feel good about my calculus final exam tomorrow
>>
>>8971061
>Antderivative= indefinite integral

sure, let's just have the normies believe that the two are the same by definition, and completely skip the fundemental theorem of calculus. topkek
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