Functions from derivatives? Find the function with following properties. f ?t) = sin t + 2tand f(0) = 5

Solution Step 1 In this problem we have to find the original function from its derivative and the initial condition. Given : f t) = sin t + 2tand f(0) = 5 We have to find f(t) To find f(t)we need to find the antiderivative(that is., integral) of f (t) =sin t + 2tand then we use the initial condition f(0) = 5