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Evaluate: int(-pi//2)^(pi//2)|sinx|dx...

Evaluate: `int_(-pi//2)^(pi//2)|sinx|dx`

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To evaluate the integral \( \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} |\sin x| \, dx \), we can break it down into steps. ### Step 1: Understand the function \( |\sin x| \) The function \( |\sin x| \) is the absolute value of \( \sin x \). We know that: - \( \sin x \) is positive in the interval \( [0, \frac{\pi}{2}] \). - \( \sin x \) is negative in the interval \( [-\frac{\pi}{2}, 0] \). ### Step 2: Split the integral ...
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