Trig substitution Quiz
10 questions · easy to harder · Calculus 2 · 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
Integrate ∫ 1/(x2√(4 − x2)) dxType the answer.
2 Question 2
Integrate ∫ 1/(x2√(9 − x2)) dxType the answer.
3 Question 3
Integrate ∫ 1/(x2 + 4)3/2 dxType the answer.
4 Question 4
Integrate ∫ 1/(x2 + 9)3/2 dxType the answer.
5 Question 5
Evaluate ∫ from 0 to 3 of √(9 − x2) dx- A) 7.07
- B) −7.07
- C) 70.7
- D) 0.707
6 Question 6
Evaluate ∫ from 0 to 2 of √(4 − x2) dxType the answer.
7 Question 7
Integrate ∫ 1/(x2√(16 − x2)) dxType the answer.
8 Question 8
Integrate ∫ 1/(x2√(25 − x2)) dxType the answer.
9 Question 9
Integrate ∫ 1/(x2 + 16)3/2 dxType the answer.
10 Question 10
Evaluate ∫ from 0 to 4 of √(16 − x2) dxType the answer.