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Evaluate: inte^x\ ((sin4x-4)/(1-cos4x))\...

Evaluate: `inte^x\ ((sin4x-4)/(1-cos4x))\ dx`

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To evaluate the integral \( I = \int e^x \frac{\sin 4x - 4}{1 - \cos 4x} \, dx \), we will follow a systematic approach to simplify the integrand and express it in a suitable form. ### Step 1: Simplify the Integrand We start with the expression: \[ \frac{\sin 4x - 4}{1 - \cos 4x} \] Using the double angle formulas, we can rewrite \(\sin 4x\) and \(\cos 4x\): ...
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