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Indian Navy SSR Integral Calculus — practice questions — page 2

Explore 43 free Integral Calculus questions in Indian Navy SSR 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 31–43 of 43.

Worked practice questions

Three of these are wrong. Find the one that holds.

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Questions
  1. Question
    Three of these statements about indefinite integrals are false.
    Choices
    1. Item
      Sums integrate term by term
      Correct
      Yes
    2. Explanation
      No such rule; that needs integration by parts.
      Item
      Products integrate factor by factor
    3. Explanation
      It is part of the general integral.
      Item
      The constant may be omitted
    4. Explanation
      It is the inverse process.
      Item
      Integration is the same as differentiation
Each trap over-extends a linearity rule. Source: syllabus Maths, Ch 7 Integrals.

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Order the steps: check an indefinite integral

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Steps
  1. Write down your proposed integral, with its constant
  2. Differentiate that expression
  3. The constant differentiates away to zero
  4. Compare the result with the original integrand
  5. If they match, the integral is correct
Differentiate the answer and compare. Source: syllabus Maths, Ch 7 Integrals.

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Flip and pair: term with meaning

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Matching pairs
  1. A
    Integration
    B
    the inverse of differentiation
  2. A
    Indefinite integral
    B
    carries a constant of integration
  3. A
    General integral
    B
    another name for the indefinite integral
  4. A
    C
    B
    the constant of integration
The chapter's vocabulary. Source: syllabus Maths, Ch 7 Integrals.

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