Start learning →

Indian Navy SSR Integrals — practice questions

Explore 22 free Integrals questions in Indian Navy SSR Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Integrals with Quill →

Integrals questions and exercises with answers

Showing questions 1–22 of 22.

∫₋ₐ^a x³ dx equals (for any a):Read the answer and worked solution →The arbitrary constant $C$ added in an indefinite integral is called the:Read the answer and worked solution →Complete the relationship between the two calculiRead the answer and worked solution →True or false: the constant of integrationRead the answer and worked solution →Differentiation or integration?Read the answer and worked solution →Tap every property of indefinite integrals the chapter givesRead the answer and worked solution →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

∫₋ₐ^a x³ dx equals (for any a):

  1. a⁴
  2. 0 (odd function over symmetric interval)
  3. a⁴/2
  4. 2a⁴
Show answer and solution

Correct answer: B. 0 (odd function over symmetric interval)

x³ is an ODD function. Integral over symmetric interval [-a, a] of any odd function is 0. (Areas above and below x-axis cancel.)

Open this question →

The arbitrary constant $C$ added in an indefinite integral is called the:

  1. limit of integration
  2. order of the integral
  3. integrand
  4. constant of integration
Show answer and solution

Correct answer: D. constant of integration

The arbitrary constant C in an indefinite integral is the constant of integration.

Open this question →

Complete the relationship between the two calculi

Read exercise and reference answers
Missing parts
  1. Answer
    derivative
    Choices
    1. derivative
    2. integral
    3. limit
  2. Answer
    function
    Choices
    1. function
    2. constant
    3. slope
  3. Answer
    inverse
    Choices
    1. inverse
    2. same
    3. square
Complete the statement
In differential calculus you are given a function and find its {0}. In integral calculus you are given the differential and must find the {1}. So integration is the {2} of differentiation.
Integration undoes differentiation. Source: syllabus Maths, Ch 7 Integrals.

Open this exercise →

How to practise

  1. Choose a Integrals question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

SequencesBinomial TheoremSequences and SeriesProbability & StatisticsGeometryPermutations and CombinationsLinear ProgrammingVectors & 3D Geometry