∫04 |x−1|dx is equal to

# ${\int }_{0}^{4} |\mathrm{x}-1|\mathrm{dx}$ is equal to

1. A

$\frac{5}{2}$

2. B

$\frac{3}{2}$

3. C

$\frac{1}{2}$

4. D

5

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### Solution:

Let ${\int }_{0}^{4} |\mathrm{x}-1|\mathrm{dx}$

It can be seen that, $\left(\mathrm{x}-1\right)\le 0$ when $0\le \mathrm{x}\le 1$ and

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