Setup and evaluation of integral over region of xy-plane
Not what you're looking for?
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.
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.