Question:
\( \int_0^\infty \left( \sin x + \left| \sin x \right| \right) dx \) is equal to?
\( \int_0^\infty \left( \sin x + \left| \sin x \right| \right) dx \) is equal to?
Show Hint
For integrals involving periodic functions like \( \sin x \), break the integral into regions where the function has a consistent sign.
Updated On: Jan 12, 2026
- 0
- 4
- 8
- 1
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The Correct Option is C
Solution and Explanation
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.
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