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Exercise

∫sin(3x)⋅e−sxdx\int sin\left(3x\right)\cdot e^{-sx}dx

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Final answer to the exercise

s481+s4(−sin⁡(3x)sesx+27cos⁡(3x)s4esx+9sin⁡(3x)s3esx+−3cos⁡(3x)s2esx)+C0\frac{s^{4}}{81+s^{4}}\left(\frac{-\sin\left(3x\right)}{se^{sx}}+\frac{27\cos\left(3x\right)}{s^{4}e^{sx}}+\frac{9\sin\left(3x\right)}{s^{3}e^{sx}}+\frac{-3\cos\left(3x\right)}{s^2e^{sx}}\right)+C_0

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∫sin(3x)·e−sxdx
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