Find the function f whose 2nd derivative is f ' ' (x) = x^3 + 2x^2 + 4 and which has the boundary values f (0) = 1, and f (1) = 3

Question

Find the function f whose 2nd derivative is f ' ' (x) = x^3 + 2x^2 + 4 and which has the boundary values f (0) = 1, and f (1) = 3

Answer 1

Answer 2

Just integrate twice and use the iniitial (boundary) conditions to evaluate the 2 constants of integration.