vocab!
Riemann Sums
Definite Integrals
FTC
Graphs and Tables
100
The Mean Value Theorem Formula
100
Find L3 of the function f(x)=3x2+3 [0,12]
What is 996
100
Using your knowledge of areas of shapes, solve the integral for the function f(x)=(4-(x-2)2)1/2 from [0,4]
What is 2pi
100
Using FTC pt. 1, evaluate image 12
What is 1/(16-x2)1/2
100
Use Image 1 and L4 to approximate the area under the curve
What is 18
200
The Fundamental Theorem of Calculus Pt. 2 Formula
200
Using Left hand Riemann Sum is it upper or lower for the function f(x)=15x2-34
What is Lower
200
use your knowledge of the areas to solve for the integral of f(x)=3-x over the interval from [-1,3]
What is 8
200
Determine a functin f(x) that satisfies the properties f'(x)=6x2-4x+3 and f(2)=5
what is f(x)=2x3-2x2+3x-9
200
Use Image 2 and R8 to approximate the area under the curve
what is 24
300
Sigma Notation
what is Image 5
300
Find R3 for the function f(x)=3x2-15 on the interval [0,6]
What is 246
300
Bonus Question! 2x points! Use Image 3 and express the limit as an integral
what is Image 9
300
Using the fundamental Theorem of Calculus Pt.1 find the derivative of the integral from [x,3x] of the function of t2 dt.
what is 26x2
300
Use Image 4 to evaluate R5 on the interval [0,10]
what is 17
400
Definite Integral
what is image 7
400
Using Right Hand Riemann Sum is it upper or lower for the function f(x)=-4x2+20
what is Lower
400
Using Image to 10 solve
What is 8
400
Use the fundamental Theorem of Calculus Pt. 1 to evaluate image 6
what is (9-x2)1/2
400
Bonus Question! 2x points. Use Image 8, over which intervals is f positive, over which intervals is f negative. Is any of it zero? Over which values is it increasing? decreasing? Is it constant anywhere?
What is positive from (0,1) and (3,6), negative from (1,3), increasing over (0,1) and (3,5) constant from (1,3) and (5,6)
500
The Fundamental Theorem of Calculus Pt.1 Formula
What is Image 11
500
Find Mid-point for M4 for the function f(x)=-2x+16 on the interval, [0,8]
What is 64
500
find fave between a=-2 b=2 of the function f'(x)=-x3+5
5, c=1/4
500
Bonus Question? 2x points: Use the fundamental Theorem of Calculus Pt. 2 and evaluate the definite integral of the function: f(x)=5x4-2x3+6x2-2x+16 on the interval a=-1 and b=2
what is 88 1/2, or 177/2
500
Use Image 4 to evaluate L5 on the interval [0,5].
What is 10