For the following function f, find the antiderivative F that satisfies the given condition. f(x) = 4x + 3 sin x, F(0) = 7 The antiderivative that satisfies the given condition is F(x) =Given the following velocity function of an object moving along a line, nd the position function with the given initial position. v(t) = 421/1 5(0) = 4 r:> The position function is s(t) = D. Find the function F that satises the following differential equations and initial conditions. F\"(x) = cos x, F'(0) = 9, F(n)= 7 F(x) = D (Type an exact answer in terms of 11:.)