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

Explore 36 free 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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Integrals questions and exercises with answers

Showing questions 31–36 of 36.

Complete the linearity rulesRead the answer and worked solution →Which process is being described?Read the answer and worked solution →True or false: what the constant meansRead the answer and worked solution →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

Complete the linearity rules

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Missing parts
  1. Answer
    sum
    Choices
    1. sum
    2. product
    3. difference
  2. Answer
    f(x)
    Choices
    1. f(x)
    2. k
    3. g(x)
Complete the statement
The integral of f(x) + g(x) equals the {0} of their integrals. For any real number k, the integral of k·f(x) equals k times the integral of {1}.
Two rules, both stated in the summary. Source: syllabus Maths, Ch 7 Integrals.

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Which process is being described?

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Items
  1. Item
    Finds the rate of change
    Category
    Differentiation
  2. Item
    Turns a function into its derivative
    Category
    Differentiation
  3. Item
    Recovers the function from its differential
    Category
    Integration
  4. Item
    Adds an arbitrary constant
    Category
    Integration
Categories
  1. Item
    Differentiation
  2. Item
    Integration
Two inverse operations, easily confused in a hurry. Source: syllabus Maths, Ch 7 Integrals.

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True or false: what the constant means

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Questions
  1. Statement is true
    Yes
    Statement
    Two correct indefinite integrals of one function differ by a constant.
  2. Statement is true
    Yes
    Statement
    They may therefore look different at first glance.
  3. Statement is true
    Yes
    Statement
    The constant differentiates away to zero.
  4. Statement is true
    No
    Statement
    Dropping the constant leaves the answer complete.
  5. Statement is true
    Yes
    Statement
    The constant is arbitrary.
Two answers can look different and both be right. Source: syllabus Maths, Ch 7 Integrals.

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