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int(-pi/2)^(pi/2) sin^(7) x dx...

`int_(-pi/2)^(pi/2) sin^(7) x dx`

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To solve the integral \( \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \sin^7 x \, dx \), we will use the property of odd functions. ### Step-by-Step Solution: 1. **Identify the Function**: We have the function \( f(x) = \sin^7 x \). 2. **Check if the Function is Odd**: ...
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