MATH-M 311 Lecture Notes - Lecture 19: Multiple Integral, Iterated Integral
Document Summary
Section 15. 2 notes- double integrals over general regions. Type i region- bounded between 2 functions of , and , for: if can be expressed/represented as space between 2 functions of : First (inner) integral in iterated integral (different from double integrals) produces function of so outer integral can be done. When given double integral, convert to iterated so it can be evaluated one variable at a time. Type ii region- bounded between 2 functions of , and , for: inverse of type i (reflected over ) Region can be either type, one or other, or neither: Express the region between and and the triangle with vertices , , and as type i regions. Express in as both a type i and type ii region. Ex: can be type i or type ii region, as type i, as type ii: Compute where is the triangle with vertices , , and .
