chap7sec3

# chap7sec3 - 7.3 Trigonometric Substitution 2 2 a x dx âˆ...

This preview shows pages 1–3. Sign up to view the full content.

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 7.3 Trigonometric Substitution 2 2 a x dx- âˆ« arises when finding the area of a circle or an ellipse (a>0), This canâ€™t be done with regular substitution so we will look at a method of substitution called trigonometric substitution . There are some problems that can be done with either regular substitution or trig substitution. These are of a specific form - not just any integral with a square root. We will refer to the table on page 484 when working these problems. The examples we will do in class are #2,6,and 16. Problem 2 3 2 2 2 2 2 2 3 2 3 5 3 2 5 2 2 5 9 sin 3sin 9 9sin 9(1 sin ) 3 cos 3 cos 3cos ( ) 3sin 3cos 9 (3sin ) (3cos )(3cos ) 3 sin cos 3 sin cos sin (Use sub. from 7.2) cos sin 3 x x dx x a x dx d x x dx d d d u du d Ï€ Ï€ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸ Î¸- = =- =- = = =- â‰¤ â‰¤ = â‡’ =- = = = = = - = - âˆ« âˆ« âˆ« âˆ« âˆ« 2 2 5 2 2 5 2 4 5...
View Full Document

## This note was uploaded on 01/20/2012 for the course MATH 2057 taught by Professor Estrada during the Fall '08 term at LSU.

### Page1 / 4

chap7sec3 - 7.3 Trigonometric Substitution 2 2 a x dx âˆ...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online