Antiderivatives & The Fundamental Theorem Of Calculus Assessment Test

10 Questions | Total Attempts: 116

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Antiderivatives & The Fundamental Theorem Of Calculus Assessment Test

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