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Surprise Test Integration
Surprise Test Integration
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Questions
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Answers
1
Use implicit differentiation to find y'
-x2/y
-y2/x2
-2xy/(x2 + y2)
2/(2xy + 3y2)
2
evaluate using integration by parts
D
C
A
B
3
Using partial fraction decomposition, integrate:
2ln|x-1|
3ln|x+1| - 3ln|x-1|
3ln|x-1| - 3ln|x+1|
12x
4
it finds properties of derivatives and integrals of functions
calculus
law
literature
5
What is the power rule for integrals?
C
B
D
A
6
Evaluate the following integrals
18
- 48
-8
108
7
Find the differentiation
D
B
C
A
8
The first fundamental theorem of calculus states:
D
B
A
C
9
Integrate using integration by parts:
xex - ex + C
xex + ex + C
10
Integrate using integration by parts
(xcos(x))/2+(sin(x))/4+C
(-cos(x))/2+(cos(x))/4+C
(xsin(2x))/2+(sin(2x))/4+C
(-xcos(2x))/2+(sin(2x))/4+C
11
Write the partial fraction decomposition for the following:
(1/x+3) - (1/x+2)
(1/x-3) - (1/x-2)
(1/x-3) + (1/x-2)
(1/x+3) - (1/x-2)
12
Implicit Differentiation #1
A
B
D
C
13
What symbol represents Integrals?
∫
Ï
(dy/dx)
Ę
14
Evaluate the following indefinite integrals
4x10+3x16+C
x5+x6+C
40x3+48x2
2x5+4x4+C
15
Indefinite Integrals can also be known as
Backwards Integral
Antiderivatives
Anti Integral
Backwards Derivative
16
Evaluate the following integrals
10
24
-2
2
17
Definite integrals give
the maximum profit tha a firm can achieve
the demand of a good given that a firm is monopolistic
the area under the graph of a function between given limits
the total revenue derived from the total cost
18
Evaluate the following integrals
9/2
20/2
11/2
2/2
19
Use the integrals below:
6
-6
-10
10
20
Fundamental Theorem of Calculus
f'(x)=0
∫ab f'(x)dx = f(b)-f(a)
life is over
there must be a value between two values where f(x)=c
21
Integrals are the ______ of derivatives.
Inverse
Opposite
No relation
Same
22
Integrals question
0
10
5
1
