Think you’ve got your head wrapped around **Indefinite Integrals**? Put your knowledge to
the test. Good luck — the Stickman is counting on you!

Q. The formula for integration by parts says

Q. When using integration by parts to find

which is the best choice of <em>u</em>?

Q.

2*xe*^{x/2} – 4*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.

42*ln *|7*x* – 2| – 12*ln *|3 – *x*| + *C*

Q.

-*ln* 2

-*ln* 6