\int_0^1 \frac{\pi^2\sin(\pi x)+0.4\pi^2\sin(2 \pi x)}{\sin(\pi x)+0.1\sin(2 \pi x)}dx\int_0^1 \frac{\pi^2\sin(\pi x)+0.4\pi^2\sin(2 \pi x)}{\sin(\pi x)+0.1\sin(2 \pi x)}dx

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