What lessons should you know before studying integrals?

AI Thread Summary
The discussion centers on the importance of studying logarithms before tackling integrals, especially since logarithmic differentiation is a key concept in calculus. The participant mentions that in France, logarithms are typically taught just before integrals in high school, which explains their current lack of knowledge in this area. Other contributors emphasize that understanding logarithms is crucial for solving ordinary differential equations (ODEs) and for mastering integrals, as both integrals and derivatives are fundamentally interconnected. Additionally, there are suggestions to revisit exponential functions after learning about logarithms and to become proficient in manipulating trigonometric and hyperbolic functions. The conversation also touches on the benefits of using English textbooks for clearer explanations and the potential use of software like Mathematica for studying calculus.
Andrax
Messages
117
Reaction score
0
so this year I've finshed limits , derivatives (that's it in cacylus)and i'd like to study integrals , ididn't study logarithms yet so idk if that's necessary, thanks
 
Physics news on Phys.org
Go ahead and take a couple of days to study logs. The integrals will still be there when you get finished.
How thoroughly did you study derivatives without knowing logs or what logarithmic differentiation was?
 
SteamKing said:
Go ahead and take a couple of days to study logs. The integrals will still be there when you get finished.
How thoroughly did you study derivatives without knowing logs or what logarithmic differentiation was?
in my country (france), logarithms are @ last year of high school just before integrals , that's why, i didn't learn logarithmic differentiation but I've learned most important deriv laws (l'hospital etc..), i like english books better than france ones , better exaplanation , simpler notations etc..
i'll focus on logarithms
 
You may want to go over the e^x stuff again after learning about logs. Logs are also used when you separate variables to solve ODE's, so you really need to know them well.
 
I'm no expert, but don't basic integrals integrals and derivatives go together? Sure integrals are harder in general (hence the need for humongous tables), but at the basic level they are two sides of the same coin. Heck, Apostol talks about integrals for 300 pages before introducing derivatives.
 
lots of trig
 
You should learn how to install and operate Mathematica on your computer.

An alternate option is going online and learning to purchase Gradshteyn and Ryzhik and open it to its table of contents.

:-p

But if you really want to do them yourself, be a master of manipulating trigonometric and hyperbolic functions. Know and understand the properties of logarithms and exponents.
 
Back
Top