The conversation between human and AI assistant.
How do I evaluate the integral [math]\int\log x\sin x\,dx[/math]?
Yes, please.
Let's start with the formula for integration by parts: [math]\int u\,dv = uv - \int v\,du[/math]. Which part would you like to choose as [math]u[/math] and which part would you like to choose as [math]dv[/math]?