# Further Topics in Integration

Lead Author(s): **Kelly Cline**

Student Price: **FREE**

These questions are about improper integrals, calculating volumes of solids of revolution, and solving basic differential equations.

$\bf{True or False:}$ If $f$ is continuous for all $x$ and $\int_0^\infty f(x)dx$ converges, then so does $\int_a^\infty f(x)dx$ for all positive $a$.

True, and I am very confident

True, but I am not very confident

False, but I am not very confident

False, and I am very confident

$\bf{True or False:}$ If $f$ is continuous for all $x$ and $\int_0^\infty f(x)dx$ diverges, then so does $\int_a^\infty f(x)dx$ for all positive $a$.

True, and I am very confident

True, but I am not very confident

False, but I am not very confident

False, and I am very confident