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The value of the integral int(1)^(5)[|x-...

The value of the integral `int_(1)^(5)[|x-3|+|1-x|]dx` is equal to

A

4

B

8

C

12

D

16

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Let [x] denote the greatest integer less than or equal to x, then the value of the integral int_(-1)^(1)(|x|-2[x])dx is equal to

    A
    3
    B
    2
    C
    `-2`
    D
    `-3`

  • The value of the integral int_(-1)^(1) (x-[2x]) dx,is

    A
    1
    B
    0
    C
    2
    D
    4

  • The value of the integral int_(0)^(1) x (1-x)^(n) dx is

    A
    `(1)/(n+1) + (1)/(n+2)`
    B
    `(1)/((n+1) (n+2))`
    C
    `(1)/(n+2) - (1)/(n+1)`
    D
    `2((1)/(n+1)- (1)/(n+2))`

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