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int(0)^(pi/2) cos^(2) x dx...

`int_(0)^(pi/2) cos^(2) x dx`

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To solve the integral \( I = \int_{0}^{\frac{\pi}{2}} \cos^2 x \, dx \), we can use a property of definite integrals and some trigonometric identities. Here’s the step-by-step solution: ### Step 1: Set up the integral We start with the integral: \[ I = \int_{0}^{\frac{\pi}{2}} \cos^2 x \, dx \] ...
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