
Definite Integrals
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Wayground Content
FREE Resource
Student preview

15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is a definite integral?
Back
A definite integral is a mathematical concept that represents the signed area under a curve defined by a function, between two specified limits (a and b). It is denoted as ∫[a,b] f(x) dx.
2.
FLASHCARD QUESTION
Front
What is the Fundamental Theorem of Calculus?
Back
The Fundamental Theorem of Calculus links the concept of differentiation and integration, stating that if F is an antiderivative of f on an interval [a, b], then ∫[a,b] f(x) dx = F(b) - F(a).
3.
FLASHCARD QUESTION
Front
How do you evaluate a definite integral using u-substitution?
Back
To evaluate a definite integral using u-substitution, you first choose a substitution u = g(x) that simplifies the integral. Then, change the limits of integration according to the substitution and replace dx with du/g'(x). Finally, evaluate the integral in terms of u and substitute back to x.
4.
FLASHCARD QUESTION
Front
What is the geometric interpretation of a definite integral?
Back
The geometric interpretation of a definite integral is the area under the curve of the function f(x) from x = a to x = b, taking into account the sign of the area (above or below the x-axis).
5.
FLASHCARD QUESTION
Front
What is the difference between definite and indefinite integrals?
Back
A definite integral has specific limits of integration and results in a numerical value representing area, while an indefinite integral does not have limits and represents a family of functions (antiderivatives) plus a constant of integration.
6.
FLASHCARD QUESTION
Front
What is the role of limits in definite integrals?
Back
Limits in definite integrals define the interval over which the area under the curve is calculated. They specify the starting point (a) and the endpoint (b) of the integration.
7.
FLASHCARD QUESTION
Front
What is the notation for a definite integral?
Back
The notation for a definite integral is ∫[a,b] f(x) dx, where f(x) is the integrand, a is the lower limit, b is the upper limit, and dx indicates the variable of integration.
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever
or continue with

Microsoft
%20(1).png)
Apple
Others
Already have an account?
Similar Resources on Wayground
6 questions
Unit 3.8 Market Structure
Flashcard
•
11th Grade
12 questions
DNA Replication and Protein Synthesis
Flashcard
•
9th - 12th Grade
10 questions
Interpret Bar Graphs
Flashcard
•
12th Grade
8 questions
Ascites Management
Flashcard
•
University
10 questions
Strategies to Avoid Communication Breakdown
Flashcard
•
11th - 12th Grade
15 questions
What is the Limit?
Flashcard
•
11th Grade
10 questions
Marketing Mix - Place and Distribution
Flashcard
•
10th Grade - University
Popular Resources on Wayground
15 questions
Fractions on a Number Line
Quiz
•
3rd Grade
20 questions
Equivalent Fractions
Quiz
•
3rd Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
22 questions
fractions
Quiz
•
3rd Grade
20 questions
Main Idea and Details
Quiz
•
5th Grade
20 questions
Context Clues
Quiz
•
6th Grade
15 questions
Equivalent Fractions
Quiz
•
4th Grade
20 questions
Figurative Language Review
Quiz
•
6th Grade
Discover more resources for Mathematics
12 questions
Add and Subtract Polynomials
Quiz
•
9th - 12th Grade
13 questions
Model Exponential Growth and Decay Scenarios
Quiz
•
9th - 12th Grade
27 questions
7.2.3 Quadrilateral Properties
Quiz
•
9th - 12th Grade
10 questions
Key Features of Quadratic Functions
Interactive video
•
8th - 12th Grade
11 questions
Exponent Quotient Rules A1 U7
Quiz
•
9th - 12th Grade
18 questions
Integer Operations
Quiz
•
5th - 12th Grade
15 questions
Exponential Growth and Decay Word Problems
Quiz
•
9th - 12th Grade
10 questions
complementary and Supplementary angles
Quiz
•
9th - 12th Grade