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Evaluate: int(sec^(2)x)/(1+tanx)dx...

Evaluate: `int(sec^(2)x)/(1+tanx)dx`

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To evaluate the integral \( \int \frac{\sec^2 x}{1 + \tan x} \, dx \), we can follow these steps: ### Step 1: Substitution Let \( t = 1 + \tan x \). Then, we differentiate both sides to find \( dt \): \[ dt = \sec^2 x \, dx \] This means that \( dx = \frac{dt}{\sec^2 x} \). ...
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