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Integrate the functions tan^3 2xsec2x...

Integrate the functions `tan^3 2xsec2x`

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To solve the integral \( \int \tan^3(2x) \sec(2x) \, dx \), we can follow these steps: ### Step 1: Rewrite the Integral We start with the integral: \[ \int \tan^3(2x) \sec(2x) \, dx \] We can express \( \tan^3(2x) \) as \( \tan^2(2x) \tan(2x) \) and use the identity \( \tan^2(2x) = \sec^2(2x) - 1 \): ...
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