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. The formula for integration by parts says
Q. When using integration by parts to find
which is the best choice of <em>u</em>?
x^{2}
x^{3}
x^{5}
e^{x3}
Q.
2xe^{x/2} – 4e^{x/2} + C
xe^{x/2} – e^{x/2} + C
x^{2}e^{x/2} + C
Q.
(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
-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 |7x – 2| – 12ln |3 – x| + C
Q.
-ln 2
-ln 6