# Using Laplace transforms evaluate the following integrals. (a) $\int_{0}^{\infty} t e^{-3 t} \cos 2 t d t$. (b) $\int_{0}^{\infty} t e^{-2 t} \sin t d t$.

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Using Laplace transforms evaluate the following integrals.

1. $\int_{0}^{\infty} t e^{-3 t} \cos 2 t d t$.
2.  $\int_{0}^{\infty} t e^{-2 t} \sin t d t$.