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JKCET Definite Integrals — practice questions — page 2

Explore 33 free Definite Integrals questions in JKCET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Definite Integrals questions and exercises with answers

Showing questions 31–33 of 33.

Type the value of each integralRead the answer and worked solution →Complete the symmetry shortcutsRead the answer and worked solution →Pick the larger definite integralRead the answer and worked solution →

Worked practice questions

Type the value of each integral

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Questions
  1. Answer
    2
    Question
    Integral of sin x from 0 to pi
  2. Answer
    1
    Question
    Integral of ln x from 1 to e
  3. Answer
    1
    Question
    Integral of the floor of x from 0 to 2
  4. Answer
    20
    Question
    Integral of the modulus of sin x from 0 to 10 pi
  5. Answer
    0
    Question
    Integral of log tan x from 0 to pi over 2
Instructions
Work it out and type the number.
_Source: Qallery verified question bank, JEE Advanced, topic Definite Integrals_

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Complete the symmetry shortcuts

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Missing parts
  1. Answer
    zero
    Choices
    1. zero
    2. twice the half
    3. its own square
  2. Answer
    twice
    Choices
    1. half
    2. twice
    3. four times
  3. Answer
    King's
    Choices
    1. Wallis
    2. Leibniz
    3. King's
Complete the statement
Taken from minus a to a, an odd function integrates to {0}, an even function integrates to {1} the value from zero to a, and swapping x for pi over two minus x is the move called {2} rule.
Instructions
Tap a phrase into each blank to complete the symmetry shortcuts for definite integrals.
_Source: Qallery verified question bank, JEE Advanced, topic Definite Integrals_

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Pick the larger definite integral

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Questions
  1. A
    sin x from 0 to pi
    B
    ln x from 1 to e
    Higher value
    sin x from 0 to pi
  2. A
    [x] from 0 to 2
    B
    |sin x| from 0 to 10pi
    Higher value
    |sin x| from 0 to 10pi
  3. A
    x sin x from 0 to pi
    B
    sin x from 0 to pi
    Higher value
    x sin x from 0 to pi
  4. A
    sin^2 x from 0 to pi/2
    B
    ln x from 1 to e
    Higher value
    ln x from 1 to e
  5. A
    |sin x| from 0 to 10pi
    B
    x sin x from 0 to pi
    Higher value
    |sin x| from 0 to 10pi
Instructions
Tap whichever of the two definite integrals works out to the larger number.
_Source: Qallery verified question bank, WBJEE, topic Definite Integrals_

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