Question

The value of the definite integral \( \int_0^{\pi} \sin^2 x \, dx \) is:

• A. \( \frac{\pi}{2} \)
• B. \( \frac{\pi}{4} \)
• C. \( \frac{\pi}{3} \)
• D. \( \frac{\pi}{6} \)

Hint:

When dealing with integrals of trigonometric functions like \( \sin^2 x \), use trigonometric identities to simplify the integrand before performing the integration.