laplace transforms

can anyone help me solving this problem? find $ L(te^{-t} sint) $

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answer

$$\mathcal{L}(\sin t)(s)=\frac{1}{s^2+1}$$
$$\mathcal{L}(t\sin t)(s)=\frac{2s}{(s^2+1)^2}$$
$$\mathcal{L}(e^{-t}t\sin t)(s)=\frac{2(s+1)}{((s+1)^2+1)^2}$$

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