4. Multiple Integrals

Double Integrals — Quiz

Test your understanding of double integrals with 5 practice questions.

Practice Questions

Question 1

Evaluate the double integral $\iint_{R} (x + y) \, dA$ over the rectangular region $R = [0,2] \times [0,3]$.

Question 2

Find the value of the double integral $\iint_{R} x^2 \, dA$ over the region $R = [0,1] \times [0,2]$.

Question 3

Evaluate the double integral $\iint_{R} (3x + 2) \, dA$ over the region $R = [0,1] \times [0,4]$.

Question 4

Compute the double integral $\iint_{R} (x + 2y) \, dA$ over the triangular region $R$ bounded by $x=0$, $y=0$, and $y=2x$.

Question 5

Find the value of the double integral $\iint_{R} y \, dA$ over the region $R$ bounded by $x=0$, $x=2$, $y=0$, and $y=x^2$.