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Indefinite Integrals

Indefinite Integrals

Indefinite Integrals: What By Parts Are The Best? Quiz

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. 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?


2xex/2 – 4ex/2 + C
xex/2ex/2 + C
x2ex/2 + C

(2x + 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


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

Q. The partial fraction decomposition of

will look like


42ln|7x – 2| – 12ln|3 – x| + C

-ln 2
-ln 6