Evaluate \(\displaystyle\int_{-\pi/4}^{\pi/4} \sin^2 x \ dx\)

1
\(\frac{\pi}{4}-\frac{1}{2}\)
2
\(\frac{\pi}{4}+\frac{1}{2}\)
3
\(\frac{\pi}{2}+\frac{1}{2}\)
4
\(\frac{\pi}{2}-\frac{1}{2}\)

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