1 ibt +e-ibt) and sin(bt) 1 Recall that cos(bt) = +e-i) and sin(bt) =(etbt – e-iM). Use the linearity of the Laplace transform to find the Laplace transform of the function given below; a and b are...

Extracted text: 1 ibt +e-ibt) and sin(bt) 1 Recall that cos(bt) = +e-i) and sin(bt) =(etbt – e-iM). Use the linearity of the Laplace transform to find the Laplace transform of the function given below; a and b are real constants. Assume that the necessary elementary integration formulas extend to this case. f(t) = eat sin(bt) NOTE: Your answer should be an expression in terms of a, b, and s. It must be fully simplified. It cannot contain i. L{f(t)}