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Santiago24

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- Calculus
- Thread starter Santiago24
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Santiago24

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Frabjous

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You should also look at

https://www.physicsforums.com/insights/self-study-calculus/

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PhDeezNutz

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1) U-substitution is related to the chain rule of differentiation

2) UV-substitution (or integration by parts) is related to the product rule of differentiation

For UV-substitution there is a general rule of thumb for which function you want to make equal to ##u## in that order.

Log, Inverse Trig, Algebraic, Trig, Exponential.

1) and 2) might be regarded as trivial by some but if you don’t know them calculus becomes WAY more difficult.

- #5

Santiago24

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I was looking on the internet and a lot of people recommend it and other book named "Irresistible Integrals" by George Boros, so i'll check it thanks.

- #6

Santiago24

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The second link is very interesting, thanks!.

You should also look at

https://www.physicsforums.com/insights/self-study-calculus/

- #7

Santiago24

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Hi thanks for the information, my problem with the integration of trigonometric functions is that they use a lot of identities or formulas that i don't know where they come.

1) U-substitution is related to the chain rule of differentiation

2) UV-substitution (or integration by parts) is related to the product rule of differentiation

For UV-substitution there is a general rule of thumb for which function you want to make equal to ##u## in that order.

Log, Inverse Trig, Algebraic, Trig, Exponential.

1) and 2) might be regarded as trivial by some but if you don’t know them calculus becomes WAY more difficult.

- #8

Frabjous

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- #9

Santiago24

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Hi I'm self studying calculus with the Spivak book. Yes, i have problems with integration by substitution because when i have to replace for u i don't know how to make appear du.

- #10

Frabjous

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You need to go through a calculus book for non-mathematicians. Given that you are getting theory from Spivak, there are probably sections you can glance through, but you should work every integration problem (most can be done in a couple of minutes). My openstax suggestion still stands or the first @micromass reference. If you live in a university town, you could get a cheap used copy of whatever they are using.

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Frabjous

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