# Indefinite Integrals: Prim and Improper Quiz

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!*

**Indefinite Integrals***f*is continuous and well-behaved on (0,∞).

(I) If then converges.

(II) If then diverges.

(III) If diverges then

(IV) If converges then

*e*

*f*(

*x*) is graphed below.

The integral

*a*

*a*> 0

*a*≥ 1

converges or diverges, it would be useful to compare the integrand to

(I)

(II)

(III)