
Anti-Derivatives and Riemann Sums
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Ethan Morris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the anti-derivative of a constant 'a' with respect to x?
a^2 + C
ax + C
a
0
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the anti-derivative of x raised to the power of n?
Multiply by n and subtract 1 from the exponent
Add 1 to the exponent and divide by the new exponent
Subtract 1 from the exponent and multiply by n
Divide by n and add 1 to the exponent
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is the correct anti-derivative of e^(2x)?
e^(2x)/2 + C
2e^(2x) + C
ln(e^(2x)) + C
e^(2x) + C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the fundamental theorem of calculus used for?
Determining the limit of a sequence
Solving differential equations
Finding the derivative of a function
Calculating the area under a curve
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which method is used to approximate the area under a curve by dividing it into trapezoids?
Midpoint Rule
Trapezoidal Rule
Simpson's Rule
Riemann Sums
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of the summation of squares from 1 to 5?
70
15
30
55
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which Riemann sum method tends to overestimate the area under a curve?
Left Riemann Sum
Right Riemann Sum
Midpoint Riemann Sum
Trapezoidal Rule
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