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AAI Junior Executive (ATC) Application of Integrals — practice questions — page 2

Explore 33 free Application of Integrals questions in AAI Junior Executive (ATC) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Application of Integrals questions and exercises with answers

Showing questions 31–33 of 33.

Checking an integralRead the answer and worked solution →Tap every true statement about integrationRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →

Worked practice questions

Checking an integral

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Questions
  1. Question
    The quickest check on an indefinite integral is to
    Choices
    1. integrate again
    2. differentiate the answer
    3. substitute zero
    Correct choice
    differentiate the answer
  2. Question
    On differentiating, the constant becomes
    Choices
    1. one
    2. itself
    3. zero
    Correct choice
    zero
  3. Question
    If the derivative matches the integrand, the answer is
    Choices
    1. correct
    2. incorrect
    3. undecidable
    Correct choice
    correct
Differentiate and compare. Source: syllabus Maths, Ch 7 Integrals.

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Tap every true statement about integration

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Questions
  1. Items
    1. Text
      It is the inverse of differentiation
      Matches the category
      Yes
    2. Text
      It recovers a function from its differential
      Matches the category
      Yes
    3. Text
      Its indefinite form carries a constant
      Matches the category
      Yes
    4. Text
      It always produces a single unique function
      Matches the category
      No
    5. Text
      It is the same operation as differentiation
      Matches the category
      No
    Category
    True of integration
Its relationship with differentiation. Source: syllabus Maths, Ch 7 Integrals.

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Spot the one that does not belong

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Questions
  1. Items
    1. Antiderivative
    2. Rate of change
    3. Constant of integration
    Odd item
    Rate of change
  2. Items
    1. Sum rule
    2. Constant multiple rule
    3. Product rule for integrals
    Odd item
    Product rule for integrals
  3. Items
    1. Derivative
    2. Indefinite integral
    3. General integral
    Odd item
    Derivative
One belongs to the other calculus. Source: syllabus Maths, Ch 7 Integrals.

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