Urgent Help. Clear working. Box Answers

Part 3 Antiderivatives and Integrals: 14. Solve the initial value problem to nd f (x), given % = 1 + 4x2 when f (1) = 4- 15. Evaluate f0E (3x + cos 4x) dx *16. Make an accurate hand-made graph of the 2 functions below to show the enclosed area, use the graph and/or algebra to determine the limits. Write an integral and calculate the area between the curves: y=x and y=x22