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How can I solve: [math]\displaystyle\int \pi e^{2t}\cos\pi t+2e^{2t}\sin\pi t\;dt?[/math]
Okay, I understand. What will be the next step?
Using integration by parts, we have [math]\int u\, dv =uv - \int v\, du[/math]. We will integrate both parts separately, then plug them in to this equation.