01:640:251 Lecture Notes - Lecture 15: Riemann Sum

• School: Rutgers University
• Department: Mathematics
• Course: 01:640:251
• Professor: Guadagni

Document Summary

The full definition of a triple integral involves a riemann sum. Riemann sum: (x,y,z) represents the electrical charge density then the integral (,,) However, if for instance the function f(x,y,z) is the total charge in these integrals can be done in any order. the region w. Where b = [0,2] x [2,4] x [-1,1] This is the projection of w onto the xy-plane. The surfaces n =+ and l =3+5 are planes that lie above the region d. find which plane lies above which n or l: find where n and l intersect. Use a test point to test both sides of = n. So l n in the upper region of = n. Draw an axis in the region, parallel to the z-axis for a given (x,y) in d. The limits of integration for x and y can be found in the same way that it was found for region d.