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NEET UG Application of Integrals — practice questions

Explore 8 free Application of Integrals questions in NEET UG 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 1–8 of 8.

True or false on areas by integrationRead the answer and worked solution →Quick picks on areas by integrationRead the answer and worked solution →Match each term to its meaningRead the answer and worked solution →Above or below the axisRead the answer and worked solution →Curve studied or notRead the answer and worked solution →Find an area by integrationRead the answer and worked solution →Fill the gaps on areas by integrationRead the answer and worked solution →Spot the one that does not fitRead the answer and worked solution →

Worked practice questions

True or false on areas by integration

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Questions
  1. Statement is true
    Yes
    Statement
    Area is built from thin vertical strips.
  2. Statement is true
    No
    Statement
    A strip's area is y plus dx.
  3. Statement is true
    Yes
    Statement
    Below the axis the integral is negative.
  4. Statement is true
    No
    Statement
    Negative areas are reported as negative.
  5. Statement is true
    Yes
    Statement
    First quadrant y is taken positive.
  6. Statement is true
    No
    Statement
    Cauchy died in 1877.
Instructions
Decide whether each statement is true or false.
_Source: syllabus Mathematics Part II, Chapter 8, Application of Integrals._

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Quick picks on areas by integration

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Questions
  1. Question
    The strips used are:
    Choices
    1. Vertical
    2. Diagonal
    3. Circular
    Correct choice
    Vertical
  2. Question
    A strip's area dA equals:
    Choices
    1. y over dx
    2. y dx
    3. y minus dx
    Correct choice
    y dx
  3. Question
    A negative area is replaced by its:
    Choices
    1. Square
    2. Reciprocal
    3. Absolute value
    Correct choice
    Absolute value
  4. Question
    The definite integral is a limit of a:
    Choices
    1. Sum
    2. Product
    3. Power
    Correct choice
    Sum
  5. Question
    The mathematician pictured is:
    Choices
    1. Newton
    2. Cauchy
    3. Gauss
    Correct choice
    Cauchy
Instructions
Tap the correct answer before the round moves on.
_Source: syllabus Mathematics Part II, Chapter 8, Application of Integrals._

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Match each term to its meaning

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Matching pairs
  1. Left
    Ordinates
    Right
    Lines at x equals a and b
  2. Left
    Elementary strip
    Right
    Height y, width dx
  3. Left
    Below the axis
    Right
    Integral comes out negative
Instructions
Tap a term, then tap what it stands for.
_Source: syllabus Mathematics Part II, Chapter 8, Application of Integrals._

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