Definite Integration
Using Identities
Premium Question
Grade 12
Question:
$\int_0^\pi \sin^2 x \, dx$ equals:
(1) $\frac{\pi}{2}$
(2) $\pi$
(3) $\frac{\pi}{4}$
(4) $2\pi$
Step-by-Step Solution
Key Concept: Use the identity $\sin^2 x = \frac{1 - \cos 2x}{2}$ to rewrite the integrand as a sum of two simpler terms before integrating.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)