INTEGRATION BY PARTS
Prof McFarland seeks comment on this page

The font "brush script mt" is used in the page to display the symbol " " in problems 2, 5, and 6 below. If "" does not appear, it will be replaced by the symbol "ln" (natural logarithm).

One form of the Integration by Parts tool is:
uv' dx = uv - u'v dx

To use this tool, we choose a u and a v' in a given integral. Below, we will practice with these choices.


[1]
In finding x e-x dx , mark the correct u and v'; copy them to their answer boxes below.
  You choose u
Need help on
how to use
this page?
  You choose v'

[2]
In finding x ln 2x dx , mark the correct u and v'; copy them to their answer boxes below.
  You choose u =
Need help on
how to use
this page?
  You choose v' =

[3]
To find ( x + 1 ) ( x + 2 )6 dx , mark correct u and v'; copy them to answer boxes below.
  You choose u =
Need help on
how to use
this page?
Could you solve
this problem using
substitution?
  You choose v' =

[4]
In finding x2 x ex2 dx , mark correct u and v'; copy them to their answer boxes below.
  You choose u =
Need help on
how to use
this page?
  You choose v' =

[5]
In finding x -2 ln x dx , mark correct u and v'; copy them to their answer boxes below.
  You choose u =
Need help on
how to use
this page?
  You choose v' =

[6]
In finding x (ln x)2 dx , mark correct u and v'; copy them to their answer boxes below.
  You choose u =
Need help on
how to use
this page?
  You choose v' =
   
This page last
updated 10 Sept 2000