Question

\( \int_0^\infty \left( \sin x + \left| \sin x \right| \right) dx \) is equal to?

• A. 0
• B. 4
• C. 8
• D. 1

Hint:

For integrals involving periodic functions like \( \sin x \), break the integral into regions where the function has a consistent sign.

Answer 1

The Correct Option is C

The integral involves the periodic nature of the sine function, and by splitting the integral at points where the sine function changes its sign, we can evaluate it to get 8.