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Definite Integration
Wallis' Formula
Premium Question
Grade 12

Question:

$\int_0^{\pi/2} \sin^4 x \, dx$ equals:
(1) $\frac{3\pi}{16}$
(2) $\frac{\pi}{8}$
(3) $\frac{2}{3}$
(4) $\frac{3}{8}$

Step-by-Step Solution

Key Concept: Use the reduction (Wallis') formula for $\int_0^{\pi/2} \sin^n x \, dx$ when $n$ is even, with $n = 4$.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)

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