Definite integrals and area 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.
- 1 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
Evaluate ∫ from 1 to 3 of (2x + 1) dxType the answer.
2 Question 2
Evaluate ∫ from 0 to 3 of 2x dxType the answer.
3 Question 3
Evaluate ∫ from 0 to 1 of (x2 + 1) dxType the answer.
4 Question 4
Evaluate ∫ from −1 to 1 of (x2 + 2) dxType the answer.
5 Question 5
Evaluate ∫ from 2 to 4 of (x − 1) dxType the answer.
6 Question 6
Find the area under y = x2 from x = 0 to x = 3.Type the answer.
7 Question 7
Find the area under y = x2 + 1 from x = 1 to x = 2.Type the answer.
8 Question 8
Find the area between y = 4 − x2 and the x-axis.Type the answer.
9 Question 9
Find the area between y = 1 − x2 and the x-axis.- A) area = 43 square units
- B) area = 0 square units
- C) area = −43 square units
- D) area = 1 square units
10 Question 10
Find the area between y = −x2 + 4x and the x-axis.Type the answer.