Preparation for learning integral calculus

  • Thread starter thharrimw
  • Start date
115
0

Main Question or Discussion Point

I have taught myself derivatives and I have taught myself the power rule and substitution but the book that I have bin using doesn’t go more in depth than that so what should I learn next?
 

Answers and Replies

mathman
Science Advisor
7,718
399
For differential calculus, you need to handle derivatives of products and quotients. Next you should learn about derivatives of the basic functions - trig, exponential, log. After that you could start looking at integral calculus.
 
115
0
i have taught myself the product and quotient rules. and how to find the deritives of basic functions - trig, exponential, log. so what do i need to do to get into integral calculus.
 
38
0
just another idea: maybe you should study related rates - a useful technique

as for integrals, you want to start with the Reimann integral. I don't know your purpose of study, but you probably don't want get too deep into the analysis - just the idea adding areas of rectangles under a curve and then making them thinner and thinner (i.e. a limit)
Note the difference between definite and indefinite integrals. The Fundamental Theorem of Calculus is, well, pretty fundamental.

Get the basics down: polynomials, trig functions, logs and exponentials
Then integration by parts. Substitution. Trig Substitution (tricky). I recall partial fractions as well...

A few basic applications might be solids of revolution, and arclength.
 
115
0
i am teaching myself calc so i can take the ab calc test and skip ab calc my senior year and take bc calc
 

Related Threads for: Preparation for learning integral calculus

  • Last Post
Replies
18
Views
8K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
21
Views
6K
Replies
5
Views
14K
  • Last Post
Replies
13
Views
7K
  • Last Post
Replies
7
Views
5K
Replies
10
Views
1K
  • Last Post
Replies
8
Views
6K
Top