(a) If f(x) = 0.1e^x + sin x, –4 ≤ x ≤ 4, use a graph of f to sketch a rough graph of the antiderivative F of f that satisfies F(0) = 0.

(b) Find an expression for F(x).

(c) Graph F using the expression in part (b). Compare with your sketch in part (a).