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Evaluate int(-pi/4)^(pi/4) sin^2xdx...

Evaluate `int_(-pi/4)^(pi/4) sin^2xdx`

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To evaluate the integral \( \int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} \sin^2 x \, dx \), we can follow these steps: ### Step 1: Use the Trigonometric Identity We will use the identity: \[ \sin^2 x = \frac{1 - \cos(2x)}{2} \] This allows us to rewrite the integral as: ...
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