Purchase Solution

Setup and evaluation of integral over region of xy-plane

Not what you're looking for?

Ask Custom Question

Sketch the region defined by x >= 0; x^2 + y^2 <= 2 and x^2 + y^2 >= 1.

Write down the integral of the function f(x, y) = x^2 over the region in each of the two possible orders, and evaluate both integrals.

Purchase this Solution

Solution Summary

The given region of the xy-plane is sketched. The integral of the given function is set up in the two possible orders of integration (integrating first over y, and then over x; integrating first over x, and then over y) and is then evaluated (in great detail) in each order.

Solution provided by:
Education
  • AB, Hood College
  • PhD, The Catholic University of America
  • PhD, The University of Maryland at College Park
Recent Feedback
  • "Thanks for your assistance. "
  • "Thank you. I understand now."
  • "Super - Thank You"
  • "Very clear. I appreciate your help. Thank you."
  • "Great. thank you so much!"
Purchase this Solution


Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.