Properties of Indefinite Integrals
I. For $$\int (4*x^2+8*x) dx$$, the antiderivative is given by $$\frac{4*x^3}{3}+ 4*x^2+ C$$.
II. Differentiating $$\frac{4*x^3}{3}+ 4*x^2+ C$$ returns the original function $$4*x^2+8*x$$.
III. The expression $$4*x^2+8*x$$ can be factored as $$4*x*(x+2)$$, and by applying an appropriate substitution on this factored form, one can derive an antiderivative that differs only by an arbitrary constant.
Which of the statements concerning the integration of $$4*x^2+8*x$$ are accurate?
A
I and III
B
I only
C
II and III
D
I, II, and III
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