Question

$\int_{a}^{b} (|x-a| + |x-b|) dx = , (0 < a < b)$

• A. $(b-a)^2$
• B. $(b-a)$
• C. $(b+a)$
• D. $(b+a)^2$

Hint:

Between $a$ and $b$, the sum of distances $|x-a| + |x-b|$ is always constant and equal to the distance between the endpoints, $(b-a)$.

Answer 1

The Correct Option is A