Let f(t) be a function on[0, infinity). The Laplace transform of f is the function F defined by the integral F(s)equalsIntegral from 0 to infinity e Superscript negative st Baseline f left parenthesis t right parenthesis dt. Use this definition to determine the Laplace transform of the following function.f(t)equalsnbsp cosine bt, b a constantQuestion content area bottomPart 1The Laplace transform of f(t) is F(s)equalsenter your response here. (Type an expression using s as the variable.)It is defined for sgreater thanenter your response here. (Type an integer or a fraction.)