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Agniveer Air Force Application of Integrals — practice questions — page 3

Explore 68 free Application of Integrals questions in Agniveer Air Force 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 61–68 of 68.

Definite or indefinite?Read the answer and worked solution →Reading the definitions backRead the answer and worked solution →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

Definite or indefinite?

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Items
  1. Item
    Carries a constant of integration
    Category
    Indefinite integral
  2. Item
    Names a family of functions
    Category
    Indefinite integral
  3. Item
    Has limits attached
    Category
    Definite integral
  4. Item
    Evaluates to a number
    Category
    Definite integral
Categories
  1. Item
    Indefinite integral
  2. Item
    Definite integral
One yields a family, the other a number. Source: syllabus Maths, Ch 7 Integrals.

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Reading the definitions back

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Questions
  1. Question
    Integral calculus asks you to find
    Choices
    1. a derivative from a function
    2. a function from its differential
    3. a limit
    Correct choice
    a function from its differential
  2. Question
    Indefinite integrals are also called
    Choices
    1. definite integrals
    2. partial integrals
    3. general integrals
    Correct choice
    general integrals
  3. Question
    All integrals of a given function differ by
    Choices
    1. a constant
    2. a factor
    3. nothing
    Correct choice
    a constant
Straight recall of the opening. Source: syllabus Maths, Ch 7 Integrals.

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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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