` int_(0)^(4)|x-1| dx` is equal toA. `5/2`B. `3/2`C. `1/2`D. 5

1.	` int_(0)^(4)\|x-1\| dx` is equal toA. `5/2`B. `3/2`C. `1/2`D. 5
Answer» Correct Answer - D Let ` l = int _(0)^(4) \| x-1\| dx` ` :. l = int_(0)^(1)\| x-1\| dx + int _(1)^(4) (x-1) dx` ` = int _(0)^(1) (1-x) dx + int _(1)^(4) (x-1) dx ` ` = [ x- (x^(2))/2]_(0)^(1) + [ (x^(2))/2 - x]_(1)^(4)` ` = (1- 1/2) - 0 + ((4^(2))/2-4)-(1/2-1)` ` = 1/2 + 4 + 1/2 =5`

Discussion

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