4. Multiple Integrals

Double Integrals — Quiz

Test your understanding of double integrals with 5 practice questions.

Practice Questions

Question 1

Evaluate the double integral $\int_{0}^{1} \int_{0}^{2} (3x + 2y) \, dx \, dy$.

Question 2

Which of the following represents the correct order of integration for the integral $\int_{0}^{1} \int_{y}^{1} f(x,y) \, dx \, dy$?

Question 3

Compute the value of the double integral $\int_0^1 \int_0^1 (x^2 + y^2) \, dx \, dy$.

Question 4

Find the area of the region bounded by $x = 0$, $y = 0$, and $x + y = 1$ using a double integral.

Question 5

Evaluate the double integral $\int_1^2 \int_0^{\ln(x)} e^y \, dy \, dx$.