Hi please answer each of the following. Each one is a different prompt. Please bold or circle the answer. Thank you!

2 Given f(a:) = E + I where w > 0. 3: Find the most general antiderivative F(:c). (If necessary, use 0 to represent a constant.) we 6 Given f(x) = 5 cos(2) + 1 + 2-2 where x > 0. Find the most general antiderivative F(x). (If necessary, use C to represent a constant.) F(a) =Given g(x) = 5% + 2 tanh(x). Find the most general antiderivative G(a). (If necessary, use C to represent a constant.)4934 + 73:3 3: Given f(w) = 3 where :1: > 0. :1: Find the most general antiderivative F(a:). (If necessary, use C to represent a constant.) F(:c) : Part a)Given f"(:c) 2 16:1:3 + 21:1:2 103:. Find f(a:). (If necessary, use C to represent the constant for the first antiderivative and D to represent the constant for the second antiderivative.) f(-'B) = The acceleration of a particle at time t is given by a(t) = 6 sin(t) + 7 cos(t). Next If s(0) = 0 and v(0) = 7, find the position function for the particle. s (t) =