High School How to learn differentiation and integration in 14 days?

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Learning differentiation in 14 days is feasible, while mastering integration within the same timeframe is more challenging. Differentiation can be grasped through practice and understanding standard techniques, whereas integration requires deeper conceptual understanding and practice with various methods. A suggested approach is to dedicate one week to each topic, focusing on essential techniques for integration. Online resources, such as Paul's notes on calculus, are recommended for structured learning. Overall, with focused effort, a solid foundation in both topics can be achieved in the given time.
greg_rack
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I should learn the concepts in the image below in about two weeks.
Schermata 2020-10-19 alle 15.51.38.pngSchermata 2020-10-19 alle 15.51.53.png The detailed list of the concepts I should master
I'm attending the last year of high school and I'm currently studying limits.
For university test reasons I'll need to study on my own topics such as differentiation and integration... and I have just 14 days to do so!
Firstly, do you think it's possible?
Secondly, is yes, how should I do it? Would you recommend me like online dispensations offering not a too-detailed and broad explanation?
 
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greg_rack said:
Summary:: I should learn the concepts in the image below in about two weeks.

Firstly, do you think it's possible?
Differentiation, yes. Integration, no. Or as a teacher of mine had put it: "Every idiot can differentiate, but integration takes an artist." Sure, this is a bit exaggerated. You can learn how to use the standard techniques of integration (polynomials, trig functions, substitution, integration by parts, partial fraction decomposition, log and exp), but you cannot become an artist in that time. You see, my list for integration alone is stuff for a week, even without tricks like the Weierstraß substitution and similar. Differentiation should be easier.

Whether this makes sense, i.e. whether you will be able to keep that in mind is a completely different issue. The usual way to learn it such that you can use it at any time is: practice, practice, practice, practice, practice, ...
 
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It's a question of how much you can learn in two weeks. You could probably get a good grasp of differentiation in that time. Both differentiation and integration (one week each) seems like a lot to me. Not impossible.

I like Paul's online notes for all things calculus:

https://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx
 
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PeroK said:
It's a question of how much you can learn in two weeks. You could probably get a good grasp of differentiation in that time. Both differentiation and integration (one week each) seems like a lot to me. Not impossible.

I like Paul's online notes for all things calculus:

https://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx
Thank you! I think I'll probably take a grounding of what integration is with its main techniques, and try to grasp as much as I can with differentiation.
I'll definitely check the website you've recommended
 

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