{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lesson 9 Integration of Hyperbolic Functions

# Lesson 9 Integration of Hyperbolic Functions - TOPIC...

This preview shows pages 1–7. Sign up to view the full content.

Click to edit Master subtitle style Integration of Hyperbolic Functions TOPIC

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
OBJECTIVES identify the different hyperbolic functions; find the integral of given hyperbolic functions; determine the difference between the integrals of hyperbolic functions; and evaluate integrals involving hyperbolic functions.
2 sinh . 1 x x e e x - - = 2 cosh . 2 x x e e x - + = x x x x e e e e x x x - - + - = = cosh sinh tanh . 3 x x x x e e e e x x - - - + = = tanh 1 coth . 4 x x e e x hx - + = = 2 cosh 1 sec . 5 x x e e x hx - - = = 2 sinh 1 csc . 6 Definitions :

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Differentiation Formulas ( 29 udu u d cosh sinh . 1 = ( 29 udu u d sinh cosh . 2 = ( 29 udu h u d 2 sec tanh . 3 = ( 29 udu h u d 2 csc coth . 4 - = ( 29 udu hu hu d tanh sec sec . 5 - = ( 29 udu coth hu csc hu csc d . 6 - =
. Note : The hyperbolic functions are defined in terms of the exponential functions. Its differentials may also be found by differentiating its equivalent exponential form. Similarly, the integrals of the hyperbolic functions can be derived by integrating the exponential form equivalent.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Integration Formulas C u udu + = cosh
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}