2-4 - February 4, 2005 Today 7.3 Trigonometric Substitution...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
February 4, 2005 Today § 7.3 Trigonometric Substitution 1
Background image of page 1

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

View Full DocumentRight Arrow Icon
Expression q a 2 - x 2 Substitution x = a sin θ with - π 2 θ π 2 Identity 1 - sin 2 θ = cos 2 θ Useful relationships θ = arcsin ± x a ² cos θ = s 1 - ± x a ² 2 tan θ = x q a 2 - x 2
Background image of page 2
Expression q x 2 - a 2 Substitution x = a sec θ = a cos θ with 0 θ < π 2 or π θ 3 π 2 Identity sec 2 θ - 1 = tan 2 θ
Background image of page 3

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

View Full DocumentRight Arrow Icon
Expression q a 2 + x 2 Substitution x = a tan θ with - π 2 < θ < π 2
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 03/09/2008 for the course CALC 1,2,3 taught by Professor Varies during the Spring '08 term at Lehigh University .

Page1 / 5

2-4 - February 4, 2005 Today 7.3 Trigonometric Substitution...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online