Integrals Quizzes, Questions & Answers

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Indefinite Integrals Quizzes

Calculus Integrals Quiz: Definite and Indefinite

Setelah kalian mempelajari integral tak tentu dan integral tentu, silahkan kalian cek kemampuan kalian dengan mengikuti kuis online di bawah ini. Petunjuk: Pilihlah salah satu ja...

Questions: 10 | Attempts: 1475 | Last updated: Sep 12, 2025

Sample Question

Sample Calculus II Questions

A student need not get 100% on the questions below in order to skip Calculus II (Math 126) and go straight into Linear Algebra (Math 220). An initial score of at least 50% is good ...

Questions: 5 | Attempts: 984 | Last updated: Oct 22, 2025

Sample Question
Use either substitution or integration-by-parts to find the following indefinite integral:

AP Calculus Integrals Practice Test!

AP calculus is an integral part of high school and college mathematics. Engineering students and students of physics and chemistry also use it in solving complex problems. This qui...

Questions: 10 | Attempts: 399 | Last updated: Oct 22, 2025

Sample Question
If 1/8 + 1/10 = v/y, and v and y are positive integers and v/y is in its simplest reduced form, what is the value of v?

9

18

27

36

All Indefinite Integrals Quizzes

Definite Integrals Quizzes

Applications of definite integrals Series

Integrals can be used to measure a lot of phenomena that affect us in our everyday life. We've set up a series of exercise to help you conceptualize and practice this section o...

Questions: 10 | Attempts: 960 | Last updated: Mar 22, 2025

Sample Question
By approximately how many micromoles does the plasma concentration increase between x=x=1100x, equals, 100 and x=200x, equals, 200?

0.067

0.15

7.42

33.5

Applications of definite integrals

Technically speaking, applications of definite integrals are often used to measure or calculate areas between 2 curves, volumes, length of curves, and of course, many other applica...

Questions: 10 | Attempts: 250 | Last updated: Mar 22, 2025

Sample Question
What is a summed-area table?

It's a data structure and algorithm for quickly and efficiently generating the sum of values.

It's a data structure for quickly and efficiently generating the sum of values.

It's a data structure and algorithm for quickly and efficiently generating values.

It's a data structure and algorithm for quickly and efficiently generating real values.

All Definite Integrals Quizzes

Fundamental Theorem Quizzes

AP Calculus: The Fundamental Theorem of Calculus! Practice Test!

Advanced Placement Calculus is not for everybody or do you think it is? Well, Fundamental theorem under AP Calculus basically deals with function, integration and derivation and wh...

Questions: 10 | Attempts: 441 | Last updated: Mar 21, 2025

Sample Question
What is the inverse function of f(x) = x/x+1?

F^-1 (x) = –x/x–1

F²(x) = x/x-2²

F^-1 (x) = x/x + 1

F^-1 (x) = x-1/ x + 2

Antiderivatives & the Fundamental Theorem of Calculus Assessment Test

We apply the derivative rules in reverse when we are finding antiderivatives, which are functions whose derivatives are ƒ. Take this assessment test to find out more.

Questions: 10 | Attempts: 304 | Last updated: Mar 20, 2025

Sample Question
The word indefinite integral is synonymous to...

Solution

Limit

Antiderivative

Integration

Antiderivatives and the fundamental theorem of calculus

This theory can be summed up as the theorem that links the concept of differentiating a function with the concept of integrating a function. In other words, the theorem shows that ...

Questions: 10 | Attempts: 161 | Last updated: Mar 21, 2025

Sample Question
What does the theorem imply?

That the changes in a quantity over time adds up to the net change in quantity

That the sum of infinitesimal changes in a quantity over time adds up to the net change in quantity

That the addition in quantity over a small period of time adds up to the net change in quantity

That a given function f(x) adds up to the net change in quantity

All Fundamental Theorem Quizzes

Integration By Substitution Quizzes

7.2 Integration by Substitution - All - L1

This quiz, titled '7.2 Integration by Substitution - All - L1', assesses skills in calculus, specifically focusing on integration techniques. It includes questions on both indefini...

Questions: 8 | Attempts: 399 | Last updated: Mar 20, 2025

Sample Question
Evaluate the indefinite integral.

A

B

C

D

Integration by Substitution Fundamentals: Linear, Power & Chain-Rule Forms

Are you ready to spot patterns that make integrals easy? In this quiz, you’ll practice recognizing “inside functions” and matching derivatives so you can apply u-...

Questions: 15 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
Valuate the indefinite integral ∫(2x + 1)⁴ dx

(2x + 1)⁵/10 + C

(2x + 1)⁵/5 + C

2(2x + 1)⁵ + C

(2x + 1)³ + C

Definite Integrals with u-Substitution: Changing Limits & Completing the Square

Think you can handle substitution without getting mixed up by bounds? This quiz focuses on definite integrals where you must change the limits of integration after substituting. Yo...

Questions: 15 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
Which substitution is most appropriate for ∫from 0 to 1 of (2x + 1)³ dx?

U = (2x + 1)³

U = 2x + 1

U = x

U = 2x

All Integration By Substitution Quizzes

Integration By Parts Quizzes

Math Trivia Quiz On Partial Fraction Decomposition

How much do you know about partial fraction decomposition? Mathematical equations of a rational function for solving problems where both numerator and denominator are polynomial eq...

Questions: 10 | Attempts: 1073 | Last updated: Mar 22, 2025

Sample Question
A good way of solving a polynomial equation involving numerator and denominator is to apply partial fraction, what is partial fraction?

The decomposition process of starting with simplified answer

Taking answer back apart of decomposing

Decomposing the final expression into its initial polynomial fractions

All of the above

Integration by Parts Essentials: From Definition to First Tricks

Are you ready to break down complex integrals into manageable steps? In this quiz, you’ll explore how integration by parts helps you solve integrals involving products like x...

Questions: 15 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
Evaluate ∫ x eˣ dx

Eˣ - x eˣ + C

X eˣ + eˣ + C

Eˣ (x + 1) + C

X eˣ - eˣ + C

Integration by Parts with Exponentials and Trigonometric Factors

Think you’re comfortable with the basics? This quiz challenges you to apply integration by parts more than once to solve tougher integrals. You’ll work with higher powe...

Questions: 15 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
Evaluate ∫ (x + 1) eˣ dx

(x + 1)eˣ + eˣ + C

X eˣ + eˣ + C

X eˣ + C

(x + 2)eˣ + C

All Integration By Parts Quizzes

Improper Integrals Quizzes

Improper Integrals – Basics, Definitions & First Examples

Learn what makes an integral “improper” and how to evaluate it using limits. You’ll practice integrals with infinite bounds and integrals where the function becom...

Questions: 15 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
What makes an integral an "improper" integral?

The integrand is a trigonometric function.

The integral has one or both limits infinite or the integrand is unbounded in the interval.

The integral requires the use of substitution to solve.

The integral represents the area of a circle.

Improper Integrals – Infinite Limits & p-Test Practice

Strengthen your skills with improper integrals by identifying why an integral is improper and choosing the correct limit setup. You’ll evaluate classic forms involving arctan...

Questions: 15 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
Which of the following is an example of an improper integral due to an unbounded integrand?

∫ from 0 to ∞ of e⁻ˣ dx

∫ from 1 to 5 of (1/(x-2)) dx, where the integrand is undefined at x=2.

∫ from -∞ to 0 of x² dx

∫₀¹0 of (x+1) dx

Improper Integrals – Convergence, Comparison & Classic Forms

Build confidence deciding convergence vs divergence. This quiz focuses on p-test behavior, integrals with vertical asymptotes, and common convergent models like exponential decay a...

Questions: 15 | Attempts: 10 | Last updated: Dec 16, 2025

Sample Question
An improper integral can have:

A finite limit of integration and a continuous integrand.

An infinite limit of integration or a discontinuous integrand.

Only an infinite lower limit.

Only a discontinuous integrand at an endpoint.

All Improper Integrals Quizzes

Integration Of Trig Quizzes

Integrals of Trigonometric Functions Trivia Quiz

How well do you remember the integrals of the trigonometric functions? For this quiz, you must know how to do integrations using various trigonometric identities, solving some ques...

Questions: 20 | Attempts: 4074 | Last updated: Mar 22, 2025

Sample Question
∫sin(u)du

-cos(u) + C

Cos(u)+C

Ln|secu + tanu)| + C

Tan(u)+C

All Integration Of Trig Quizzes

Top Trending Integrals Quizzes

Integration - Quiz 1

This quiz tests knowledge on integration, covering general function expressions, curve equations, area calculations, and volume of solids through integral applications.

Questions: 20 | Attempts: 1127 | Last updated: Oct 15, 2025

Discs, Washers Or Shells?

Press the "Start" button to begin.

Questions: 9 | Attempts: 819 | Last updated: Mar 21, 2025

Sample Question
Which method would you use to revolve the region about x-axis?

Disc method

Shell method

Washer method

Integration Methods Quiz: Calculus Mathematics

Have you studied Calculus mathematics? If yes, you can play this Integration Methods Quiz to check your knowledge of various methods of Integration. You can get the perfect score just by answering all the questions...

Questions: 10 | Attempts: 1812 | Last updated: Mar 22, 2025

Sample Question
Which statement best describes the meanings of definite and indefinite integrals?

Definite and indefinite integrals represent areas under curves. Definite integrals are for a specific interval, while indefinite integrals are accumulation functions.

Definite integrals represent backwards differentiation while indefinite integrals represent limits of Riemann sums.

Definite integrals represent areas under curves while indefinite integrals represent families of antiderivatives.

Definite integrals represent families of antiderivatives while indefinite integrals represent specific antiderivatives.

Fundamentals And Functions Of Calculus! Quiz

Calculus is a branch of mathematics that is concerned with limits and with the differentiation and integration of functions which was discovered in the 17th century by I. Newton and G. W. Leibniz. This quiz has been created for...

Questions: 10 | Attempts: 1657 | Last updated: Mar 21, 2025

Sample Question
Which of the following can be thought of as a special case of the Mean Value Theorem?

L'Hopital's rule

Intermediate Value Theorem

Rolle's Theorem

Extreme Value Theorem

Advanced AP Calculus Test

The Advanced AP Calculus Test is an Advanced Placement calculus course consisting of a full high school academic year of work that is comparable to calculus courses in colleges and universities. The advanced test will...

Questions: 10 | Attempts: 780 | Last updated: Mar 22, 2025

Sample Question
Find X if In(x+5) = 3

E3+5

E3-5

3e3+5

3e3-5

Recent Integrals Quizzes

Test Your General Knowledge and Logical Reasoning

Enhance your understanding of integral calculus with this focused assessment on Calculus 2. This activity is designed to test your knowledge on advanced calculus topics, emphasizing true/false questions to sharpen your analytical...

Questions: 13 | Attempts: 14 | Last updated: Aug 11, 2025

Sample Question
Is the statement 'The Earth is flat' true or false?

UNCERTAIN

FALSE

NOT APPLICABLE

TRUE

Calculus Fundamentals: Differentiation and Integration Quiz

Enhance your understanding of calculus with this focused quiz on differentiation and integration rules. Test your skills and identify areas for improvement in tackling calculus problems, crucial for academic advancement in...

Questions: 4 | Attempts: 19 | Last updated: Oct 17, 2025

Sample Question
Rewrite the sentence.

1

Revise the text.

Amend the statement.

Edit the paragraph.

AP Calculus Quiz On Formulas!

AP Calculus Quiz on Formulas!

Advanced Placement Calculus is a set of two distinct Advanced Placement calculus courses and exams offered by College Board. AP Calculus AB covers limits, derivatives, and integrals. AP Calculus BC covers all AP Calculus AB...

Questions: 10 | Attempts: 585 | Last updated: Mar 22, 2025

Sample Question
Transposing I = V/R for resistance R gives

I-V

V-I

I/V

VI

Accumulation And Riemann Sums Quiz

Accumulation and Riemann sums quiz

The Riemann sum can be defined as the approximation of an integral by a finite sum, with one common application being the approximation of the area of a function or line on a graph. It can also be described as the length of...

Questions: 10 | Attempts: 221 | Last updated: Mar 22, 2025

Sample Question
How is the sum calculated?

By dividing the region up into shapes

By adding the different regions

By combining all the regions together

By adding the different shades

Accumulation & Riemann Sums Assessment Test

Accumulation and Riemann sums are used when the definite integral represents the area under the curve of a function between two vertical lines but we can't go find this area easily, so we can estimate it using simpler shapes...

Questions: 10 | Attempts: 139 | Last updated: Mar 21, 2025

Sample Question
Integrate ∫ 3x+2 dx from x=1 to x=4.

28.5

28.6

28

28.7

Applications Of Integration Assessment Test

Applications of Integration Assessment Test

Take this intelligent assessment test to evaluate your knowledge of how we can integrate integrating functions into our lives, and we can use integral calculus to study functions and solve real-world problems.

Questions: 10 | Attempts: 346 | Last updated: Mar 20, 2025

Sample Question
Which is an application of integration?

Payment

Acceleration

Driving

Addition

Volume Using Calculus Assessment Test

Take our intelligent assessment test to evaluate your knowledge of how we can use calculus and integrals to find volumes like areas and lengths.

Questions: 10 | Attempts: 141 | Last updated: Mar 20, 2025

Sample Question
An integral over a 3-dimensional domain is referred to as?

Slope

Volume integral

Space

Function

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Integrals Quizzes, Questions & Answers

Popular Integrals Topics

Indefinite Integrals Quizzes

Definite Integrals Quizzes

Fundamental Theorem Quizzes

Integration By Substitution Quizzes

Integration By Parts Quizzes

Improper Integrals Quizzes

Integration Of Trig Quizzes

Top Trending Integrals Quizzes

Recent Integrals Quizzes