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The value of int(-2)^2 (sin^2x)/([x/pi]+...

The value of `int_(-2)^2 (sin^2x)/([x/pi]+1/2) dx` where [x] denotes the greatest integer `lex` is

A

1

B

0

C

4-sin 4

D

none of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If [x+[2x]] lt3 , where [.] denotes the greatest integer function, then x is

    A
    [0,1)
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    `(-infty,3/2]`
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  • The function f(x)=tan{pi[x-pi/2]}/(2+[x^2] , where [x] denotes the greatest integer le x, is

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    continuous for all values of `x`
    B
    discontinuous at `x=pi/2`
    C
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    D
    discontinuous at x=-2
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