Question

The value of the integral \[ \int_1^3 |x| + |x - 1| \, dx \] \text{is:}

• A. 4
• B. 9
• C. 2
• D. \( \frac{9}{2} \)

Hint:

When integrating absolute value functions, split the integral at the points where the inside expression changes sign.

Answer 1

The Correct Option is D

We break the integral into pieces based on the absolute value function, and then evaluate each part to obtain the final result.
Final Answer: \[ \boxed{\frac{9}{2}} \]