Lecture 13-4

# Lecture 13-4 - 13.4 - Double Integrals in Polar Form Recall...

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

13.4 - Double Integrals in Polar Form Recall Consider ZZ f ( x, y ) dA . Remember, θ is measured from the x -axis and r is the ray out from the origin through the region. Δ A i 6 = Δ r i Δ θ i Area of a sector of a circle is A = 1 2 r 2 θ . So, Δ A i = 1

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

View Full Document
Conversion of a Cartesian Integral to Polar Form where α θ β and a r b Note a and b may be functions of θ , not just numbers. Example 1 Let R be the given region. Write an integral of f ( x, y ) over R in polar form. Example 2 Same as Example 1, but new region shown below. Use polar on circular regions. Use cartesian on rectangular regions. 2
Example 3 Evaluate

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.

## This note was uploaded on 03/03/2010 for the course MATH 2224 taught by Professor Mecothren during the Spring '03 term at Virginia Tech.

### Page1 / 5

Lecture 13-4 - 13.4 - Double Integrals in Polar Form Recall...

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

View Full Document
Ask a homework question - tutors are online