Double integrals over general regions Quiz
10 questions · easy to harder · Calculus 3 · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 4 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Double integral of x over the region between y = x2 and y = x- A) 0
- B) 1
- C) 112
2 Question 2
Double integral of y over 0 ≤ x ≤ 1, x2 ≤ y ≤ xType the answer.
3 Question 3
Double integral of x + y over 0 ≤ x ≤ 1, x2 ≤ y ≤ xType the answer.
4 Question 4
Double integral of 2x over 0 ≤ x ≤ 2, x2 ≤ y ≤ 2xType the answer.
5 Question 5
Double integral of 1 over the region between y = x and y = x2- A) 0
- B) 1
- C) 16
6 Question 6
Double integral of xy over 0 ≤ x ≤ 2, 0 ≤ y ≤ xType the answer.
7 Question 7
Double integral of x over the region between y = x2 and y = 2x- A) 43
- B) 2
- C) 0
8 Question 8
Double integral of x2 over 0 ≤ x ≤ 2, 0 ≤ y ≤ 2xType the answer.
9 Question 9
Double integral of x + 2y over the region between y = x2 and y = 2 − x2- A) 0
- B) −163
- C) 1
- D) 163
10 Question 10
Double integral of 4xy over 0 ≤ x ≤ 1, x3 ≤ y ≤ xType the answer.