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NDA - Definite Integration Test 1179
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NDA - Definite Integration Test 1179
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  • Question 1/5
    1 / -0.33
    The value of , where [.] represents the greater integer function, is:
    Solutions

    Let  where [.] represents the greater integer function

    So, dividing the range

  • Question 2/5
    1 / -0.33
    For any integer n, the integral  has the value:
    Solutions

    Let  and

    Using the property of definite integral

    Now

    So

  • Question 3/5
    1 / -0.33
    If  and  then
    Solutions

    We know that

    So,

    But given that

    So,

    But,

    Adding equation (1) & (2)

  • Question 4/5
    1 / -0.33
    The value of is:
    Solutions

    we have

    [ is positive in I and II coordinate]

  • Question 5/5
    1 / -0.33
    Find
    Solutions

    Let,

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