7. Double Integrals

General Regions — Quiz

Test your understanding of general regions with 5 practice questions.

Practice Questions

Question 1

Which description is the standard form of a Type I region for a double integral?

Question 2

Which iterated integral represents the area of the region bounded by $y=x^2$ and $y=2x$?

Question 3

What is the area of the region $D=\{(x,y)\mid 0\le x\le 3,\ x\le y\le 3\}$?

Question 4

Which is an equivalent description of the region $D=\{(x,y)\mid 0\le y\le 1,\ y\le x\le 1\}$ with $x$ as the outer variable?

Question 5

Which iterated integral gives the area of the triangle bounded by $y=0$, $y=x$, and $x=2$?