Area between two curves Quiz
10 questions · easy to harder · Calculus · 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.
- 5 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
Find the area between y = x + 2 and y = x2.- A) 0 square units
- B) 92 square units
- C) 2 square units
2 Question 2
Find the area between y = x and y = x2.Type the answer.
3 Question 3
Find the area between y = 1 and y = x2.- A) 43 square units
- B) 1 square units
- C) 0 square units
4 Question 4
Find the area between y = 4 − x2 and y = x2 − 4.Type the answer.
5 Question 5
Find the area between y = x2 − 2x and y = x.- A) −92 square units
- B) 92 square units
- C) 0 square units
- D) 3 square units
6 Question 6
Find the area between y = 5 − x2 and y = 1.Type the answer.
7 Question 7
Find the area between y = x2 and y = 3x.- A) 92 square units
- B) 3 square units
- C) 0 square units
8 Question 8
Find the area between y = x2 − 1 and y = x + 1.Type the answer.
9 Question 9
Find the area between y = 3 − x2 and y = x2 − 5.- A) 0 square units
- B) 2 square units
- C) 643 square units
- D) −643 square units
10 Question 10
Find the area between y = x2 − 6x + 5 and y = x − 5.Type the answer.