Mathematics Integral Assessment
Please complete this assessment to demonstrate your understanding of integral calculus concepts.
Full Name
*
First Name
Last Name
Email Address
*
example@example.com
How confident are you in your understanding of the following integral topics?
*
Rows
Not confident at all
Somewhat confident
Confident
Very confident
Definite Integrals
1
2
3
4
Indefinite Integrals
5
6
7
8
Integration by Substitution
9
10
11
12
Integration by Parts
13
14
15
16
Improper Integrals
17
18
19
20
Which of the following best describes the Fundamental Theorem of Calculus?
*
It relates differentiation and integration.
It describes the area of a circle.
It explains the chain rule.
Other (please specify)
Evaluate the following definite integral: ∫₀¹ (2x) dx
*
Which technique would you use to solve the integral ∫ x·e^x dx?
*
Integration by Parts
Substitution
Partial Fractions
Not sure
Please rate your ability to solve application problems involving integrals (e.g., area under a curve, volume of revolution).
*
1
2
3
4
5
Select all integral applications you have practiced:
Area between curves
Volume of solids of revolution
Average value of a function
Arc length
Other
Solve the following integral and show your steps: ∫ (3x^2 + 2x + 1) dx
*
What topic(s) related to integrals do you find most challenging?
Please provide any additional comments or feedback regarding this assessment.
Submit Assessment
Should be Empty: