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int(-pi/2)^(pi/2) sin^(2) x dx...

`int_(-pi/2)^(pi/2) sin^(2) x dx`

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To solve the integral \( \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \sin^2 x \, dx \), we can follow these steps: ### Step 1: Use the identity for \( \sin^2 x \) We know that: \[ \sin^2 x = \frac{1 - \cos(2x)}{2} \] Thus, we can rewrite the integral as: ...
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