Undergrad Integration Using Hyperbolic Substitution

Click For Summary
Integration using hyperbolic substitution can simplify certain integrals by transforming them into more manageable forms. A common example involves substituting variables in integrals that contain expressions like √(x² + a²) or √(x² - a²). The hyperbolic identities, such as sinh²(u) + 1 = cosh²(u), are often utilized in these substitutions. Online resources provide detailed examples and explanations for better understanding. For practical applications, refer to websites that specialize in mathematical substitutions and integration techniques.
askor
Messages
168
Reaction score
9
Can someone please show me an example of integration using hyperbolic substitution?

Thank you
 
Physics news on Phys.org

Similar threads

High School Does U-Substitution Function as the Inverse of the Chain Rule?
  • · Replies 10 ·
Replies
10
Views
2K
Are hyperbolic substitutions absolutely necessary?
  • · Replies 1 ·
Replies
1
Views
2K
Calculus Textbook for Integration using Hyperbolic substitution
  • · Replies 2 ·
Replies
2
Views
1K
High School Integration by parts of inverse sine, a solved exercise, some doubts...
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Integration of a hyperbolic function
  • · Replies 5 ·
Replies
5
Views
2K
MHB How is z=2xy a Hyperbolic Paraboloid in the rotated 45° in the xy-plane?
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Substitution in a definite integral
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad What's my mistake in this integration problem?
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Different Substitution for Solving an Integral
  • · Replies 6 ·
Replies
6
Views
2K
MHB When to use a hyperbolic trig substitution in integration problems?
  • · Replies 1 ·
Replies
1
Views
2K