INTEGRATION_Trigonometric Functions and Hyperbolic Functions
1 view 0 purchase
Course
MAT 2691
Institution
University Of South Africa
INTEGRATION: Trigonometric Functions & Hyperbolic Functions BACKGROUND THEORY Corresponding to each trigonometric (or hyperbolic) differentiation formula is an integration formula. Although these are always given in a formula sheet, it will help you a great deal in the exam in terms of saving time ...
BACKGROUND THEORY
Corresponding to each trigonometric (or hyperbolic) differentiation formula is an integration formula. Although these
are always given in a formula sheet, it will help you a great deal in the exam in terms of saving time if you learn the
formulas by heart.
Trigonometric Functions Hyperbolic Functions
d du d du
sin u cos u sinh u cosh u
dx dx dx dx
cos u du sin u C
cosh u du sinh u C
d du d du
cos u sin u cosh u sinh u
dx dx dx dx
sin u du cos u C
sinh u du cosh u C
d du d du
tan u sec2 u tanh u sech 2 u
dx dx dx dx
sec2 u du tan u C
sech 2 u du tanh u C
d du d du
sec u sec u tan u sech u sech u tanh u
dx dx dx dx
sec u tan u du sec u C
sech u tanh u du sech u C
d du d du
csc u csc u cot u csch u csch u coth u
dx dx dx dx
csc u cot u du csc u C
csch u coth u du csch u C
d du d du
cot u csc2 u coth u csch 2 u
dx dx dx dx
csc2 u du cot u C
csch 2 u du coth u C
Special Standard Integrals:
Trigonometric Functions Hyperbolic Functions
tan udu ln sec u C tanh u du ln cosh u C
cot u du ln sin u C coth u du ln sinh u C
sec u du ln sec u tan u C sech u du arctan sinh u C
csc u du ln csc u cot u C csch u du ln tanh C u
2
This study source was downloaded by 100000844708667 from CourseHero.com on 09-14-2022 03:10:15 GMT -05:00
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller HIGHFLYER. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $12.49. You're not tied to anything after your purchase.
