Calculus Textbook for Integration using Hyperbolic substitution

Click For Summary
The discussion centers on finding a beginner-friendly book that covers integration using hyperbolic substitution. While hyperbolic functions are typically introduced in calculus textbooks, these resources often focus on identities and differentiation rather than integration techniques. The conversation highlights the need for more comprehensive materials that specifically address hyperbolic integration. A suggested resource is provided, linking to a website that may offer relevant information for beginners looking to understand hyperbolic functions and their applications in integration.
askor
Messages
168
Reaction score
9
Can someone please tell me the book that contain integration using hyperbolic substitution for beginner?

I know that hyperbolic functions is taught in Calculus book but most of them is only some identities and inverses of hyperbolic functions.
 
Physics news on Phys.org
differentiating hyperbolic functions

##y=sinhx\rightarrow y'=coshx##
##y=coshx\rightarrow y'=sinhx##
##y=tanhx\rightarrow y'= sech^2x##
##y=cschx\rightarrow y'=-cschxcothx##
##y=sechx\rightarrow y'=-sechxtanhx##
##y=cothx\rightarrow y'=-csch^2x##
 
Last edited:
  • Like
Likes vuthanhcrazy and Mr.Husky
Im currently reading mathematics for physicists by Philippe Dennery and André Krzywicki, and I’m understanding most concepts however I think it would be better for me to get a book on complex analysis or calculus to better understand it so I’m not left looking at an equation for an hour trying to figure out what it means. So here comes the split, do I get a complex analysis book? Or a calculus book? I might be able to Borrow a calculus textbook from my math teacher study that for a bit and...

Similar threads

  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
774
  • · Replies 17 ·
Replies
17
Views
8K
  • · Replies 26 ·
Replies
26
Views
6K
  • · Replies 19 ·
Replies
19
Views
4K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 11 ·
Replies
11
Views
4K
  • · Replies 17 ·
Replies
17
Views
4K