Think You Got it Down?
Test your knowledge again:
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!
The formula for integration by parts says
When using integration by parts to find
which is the best choice of <em>u</em>?
2xex/2 – 4ex/2 + C
xex/2 – ex/2 + C
x2ex/2 + C
(2x + 1)(x + 2)-3/2 + 8(x + 2)-1/2 + C
be an antiderivative of f
. Values of F
, and f'
are given in the table below.
Use this information to find
Which of the following is a partial fraction decomposition of
The partial fraction decomposition of
will look like
42ln |7x – 2| – 12ln |3 – x| + C