In 1–20, determine the Laplace transform of the given function using Table 7.1 and the properties of the transform given in Table 7.2 [Hint: In 12–20, use an appropriate trigonometric identity.]

Solution :Step 1 of 4 :In this problem, we need to determine the Laplace transform of the given function.f(x) = ()²Step 2 of 4 : Expand the function f(x) = ()²f(x) = 1 + 2 + Now apply the Laplace transform L{f(x) = 1 + 2 + }