# Indefinite Integrals: What By Parts Are The Best? Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Indefinite Integrals**Q. When using integration by parts, which of these expressions do we use to find an integral?

Q. When using integration by parts to find

which is the best choice of *u*?

*x*

^{2}

*x*

^{3}

*x*

^{5}

*e*

^{x3}

Q.

2

*xe*^{x/2}– 4*e*^{x/2}+*C**xe*

^{x/2}–

*e*

^{x/2}+

*C*

*x*

^{2}

*e*

^{x/2}+

*C*

Q.

(2

*x*+ 1)(*x*+ 2)^{-3/2}+ 8(*x*+ 2)^{-1/2}+*C*Q. Let

*F*be an antiderivative of*f*. Values of*F*,*f*, and*f'*are given in the table below.Use this information to find

-1

-6

-10

-14

Q.

Q. Which of the following is a partial fraction decomposition of

Q. The partial fraction decomposition of

will look like

Q.

42ln|7

*x*– 2| – 12ln|3 –*x*| +*C*Q.

-ln 2

-ln 6