This is similar to example (a). We find the transform of the function g(t) = eatcos bt, then divide by s, since we are finding the Laplace transform of the integral of g(t) evaluated from 0 to t.

`Lap{int_0^te^(at)cosbt\ dt}=1/sxx(s-a)/((s-a)^2+b^2)`

`=(s-a)/(s((s-a)^2+b^2)`

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