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Integrate the functions1/(cos^2x(1-tanx)...

Integrate the functions`1/(cos^2x(1-tanx)^2)`

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To solve the integral \( \int \frac{1}{\cos^2 x (1 - \tan x)^2} \, dx \), we can follow these steps: ### Step 1: Rewrite the Integral We start with the integral: \[ \int \frac{1}{\cos^2 x (1 - \tan x)^2} \, dx \] We know that \( \frac{1}{\cos^2 x} = \sec^2 x \), so we can rewrite the integral as: ...
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