Find the value of $\int\limits_{1}^{4} |x - 5| \, dx$
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → $\frac{15}{2}$
$\int\limits_{1}^{4} |x - 5| \, dx = \int\limits_{1}^{4} -(x - 5) \, dx$
$= -\left[ \frac{1}{2}(x - 5)^2 \right]_{1}^{4}$
$\int\limits_{1}^{4} |x - 5| \, dx = -\frac{1}{2} [1 - 16] = \frac{15}{2}$