Textbook for Integration using Hyperbolic substitution

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SUMMARY

The discussion focuses on finding a textbook that covers integration using hyperbolic substitution for beginners. While hyperbolic functions are typically introduced in calculus books, they often lack comprehensive integration techniques. A recommended resource is the online book available at this link, which provides foundational knowledge on hyperbolic functions and their derivatives, essential for understanding integration.

PREREQUISITES
  • Basic understanding of calculus concepts, particularly derivatives.
  • Familiarity with hyperbolic functions and their identities.
  • Knowledge of integration techniques in calculus.
  • Access to online educational resources or textbooks on calculus.
NEXT STEPS
  • Research hyperbolic substitution techniques in integration.
  • Study the online resource provided for hyperbolic functions.
  • Explore additional calculus textbooks that cover integration comprehensively.
  • Practice problems involving hyperbolic functions and their integrals.
USEFUL FOR

Students and educators in mathematics, particularly those focusing on calculus and integration techniques, will benefit from this discussion.

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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.
 
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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##
 
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