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int(0)^(3)[x]dx=…, where [x] is greatest...

`int_(0)^(3)[x]dx=…,` where [x] is greatest integer function.

A

3

B

0

C

2

D

1

Text Solution

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The correct Answer is:
A
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Evaluate the following integrals: int_(0)^(2)[x]dx where [x] is greatest integers function.

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Knowledge Check

  • The value of the integral int_(0)^(2) x[x] dx is where [x] is greatest integer function.

    A
    `7//2`
    B
    `3//2`
    C
    `5//2`
    D
    None of these

  • If n in N , the value of int_(0)^(n) [x] dx (where [x] is the greatest integer function) is

    A
    `(n(n+1))/(2)`
    B
    `(n(n-1))/(2)`
    C
    `n(n-1)`
    D
    none of these

  • int_(0)^(x) dx = "……." , where [x] is greatest integer function.

    A
    3
    B
    0
    C
    2
    D
    1

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