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Evaluate the following : int(0)^(pi//2)...

Evaluate the following :
`int_(0)^(pi//2) cos^(2) " x dx"`

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AI Generated Solution

To evaluate the integral \( \int_{0}^{\frac{\pi}{2}} \cos^2 x \, dx \), we can follow these steps: ### Step 1: Use the Trigonometric Identity We can use the trigonometric identity for \( \cos^2 x \): \[ \cos^2 x = \frac{1 + \cos 2x}{2} \] Thus, we can rewrite the integral: ...
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