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Indian Navy SSR (Sailor) Integral Calculus — practice questions — page 2

Explore 46 free Integral Calculus questions in Indian Navy SSR (Sailor) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Integral Calculus questions and exercises with answers

Showing questions 31–46 of 46.

Properties in useRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Order the steps: check an indefinite integralRead the answer and worked solution →Flip and pair: term with meaningRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →True or false: reading the notationRead the answer and worked solution →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

Properties in use

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Questions
  1. Question
    The integral of f(x) + g(x) equals
    Choices
    1. the sum of their integrals
    2. the product of their integrals
    3. neither
    Correct choice
    the sum of their integrals
  2. Question
    For a real number k, the integral of k·f(x) equals
    Choices
    1. the integral of f
    2. k times the integral of f
    3. k
    Correct choice
    k times the integral of f
  3. Question
    Integration is the inverse of
    Choices
    1. multiplication
    2. substitution
    3. differentiation
    Correct choice
    differentiation
  4. Question
    The C in an indefinite integral is the
    Choices
    1. constant of integration
    2. coefficient
    3. curve
    Correct choice
    constant of integration
The two rules the chapter lists first. Source: syllabus Maths, Ch 7 Integrals.

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Assertion and reason

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Questions
  1. Reason
    Any two functions with the same derivative differ only by a constant.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    An indefinite integral is written with a trailing constant.
  2. Reason
    The two processes are inverses of each other.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Integration can be checked by differentiating the answer.
  3. Reason
    The integral of a sum is the sum of the integrals.
    Verdict
    The assertion is false and the reason is true.
    Assertion
    The integral of a product is the product of the integrals.
The reason must genuinely explain the assertion. Source: syllabus Maths, Ch 7 Integrals.

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Two are true, one is not

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Questions
  1. False statement
    Indefinite integrals need no constant
    Statements
    1. Integration is the inverse of differentiation
    2. Indefinite integrals carry a constant
    3. Indefinite integrals need no constant
  2. False statement
    Products split under integration
    Statements
    1. Products split under integration
    2. Sums split under integration
    3. Constant factors come outside
  3. False statement
    Every integral of a function is identical
    Statements
    1. All integrals of one function differ by a constant
    2. Every integral of a function is identical
    3. C is the constant of integration
The false line extends a rule that does not extend. Source: syllabus Maths, Ch 7 Integrals.

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