Antiderivatives & The Fundamental Theorem Of Calculus Assessment Test
10 Questions
| Total Attempts: 116
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We apply the derivative rules in reverse when we are finding antiderivatives, which are functions whose derivatives are ƒ. Take this assessment test to find out more.
Questions and Answers
- 1.The word indefinite integral is synonymous to...
- A.
Solution
- B.
Limit
- C.
Antiderivative
- D.
Integration
- 2.Diifferential equations in x and y is an equation that involves x,y and derivatives of y.
- A.
True
- B.
False
- C.
Depends on some factors
- D.
Not defined
- 3.Use the properties of summation to evaluate: 24 Σ (5i - 4) = i=1
- A.
614
- B.
589
- C.
615
- D.
616
- 4.Use the properties of summation to evaluate: 10 Σ (2i + 3) i=1
- A.
70
- B.
140
- C.
210
- D.
290
- 5.Evaluate the sum. 7 Σ = i=1
- A.
28
- B.
35
- C.
39
- D.
34
- 6.Derivatives and integral, are essentially inverse operations on functions.
- A.
True
- B.
False
- C.
Maybe
- D.
Not defined
- 7.Find all antiderivatives of f ( x ) = 1/(1 + x ) + 2 cos(2 x ).
- A.
F( x ) = log(1 + x ) + sin(2 x )
- B.
F( x ) = log(2 + x ) + sin(2 x )
- C.
F( x ) = log(1 + x ) + sin(1 x )
- D.
F( x ) = log(2 + x ) + sin(3 x )
- 8.Which Greek letter is used for sigma notation?
- A.
ξ
- B.
Σ
- C.
φ
- D.
Φ
- 9.The connection between differential calculus and integral calculus is stated in a theorem that is appropriately called the...
- A.
Mean Value theorem
- B.
Pythagorean theorem
- C.
Binomial theorem
- D.
Fundamental theorem of calculus
- 10.There are _____ types of fundamental theorem of calculus.
- A.
2
- B.
3
- C.
4
- D.
5
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