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JEE Advanced Integrals and Applications — practice questions — page 2

Explore 90 free Integrals and Applications questions in JEE Advanced Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Integrals and Applications questions and exercises with answers

Showing questions 31–60 of 90.

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 →Match each calculus ideaRead the answer and worked solution →Tap every use of the derivativeRead the answer and worked solution →True or false: calculusRead the answer and worked solution →Match each calculus ideaRead the answer and worked solution →Definite or indefinite?Read the answer and worked solution →Tap every use of the derivativeRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Order the steps: check an indefinite integralRead the answer and worked solution →Checking an integralRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →By Walli's formula, ∫_0^(π/2) sin^4(x) dx equals:Read the answer and worked solution →Compute ∫ 2x sin(x²) dx using substitution:Read the answer and worked solution →The integral ∫_{-1}^{1} x³ dx equals:Read the answer and worked solution →Complete the linearity rulesRead 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 →Three of these are wrong. Find the one that holds.Read the answer and worked solution →

Worked practice questions

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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Spot the one that does not belong

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Questions
  1. Items
    1. Constant of integration
    2. Derivative
    3. Indefinite integral
    Odd item
    Derivative
  2. Items
    1. Sums split
    2. Constants come outside
    3. Products split
    Odd item
    Products split
  3. Items
    1. Rate of change
    2. Integration
    3. Antiderivative
    Odd item
    Rate of change
One item is a differentiation idea. Source: syllabus Maths, Ch 7 Integrals.

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More Mathematics topics

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