Consider the function f(x) = x^2cos(2x) and the interval [0,?].

A) Find the derivative of f(x).

B) Find the indefinite integral of f(x).

C) Find the definite integral of f(x) over the interval [0,?].

D) Determine whether the integral in part C) can be evaluated using elementary functions.

E) If the integral in part C) cannot be evaluated using elementary functions, find an approximation of the integral using numerical methods with an error less than or equal to 0.001.

F) Discuss the geometric interpretation of the integral in part C