INTEGRATION BY SUBSTITUTION
Prof M
^{c}
Farland
seeks comment on this page.
Since the
Chain rule
tells us
dy
dx
=
dy
du
^{.}
du
dx
, we may anti-differentiate both sides to get
:
y(x) =
dy
du
^{.}
du
dx
dx
.
To use this tool, we must first choose a "u"
:
see
METHODS
.
[1]
In finding
3x ( x
^{2}
+ 8 )
^{8}
dx ,
mark the correct "u" and copy it to the answer box below.
Use left mouse button to highlight u =
Need help on how to use this page?
[2]
In finding
(3x
^{2}
- 1 ) e
^{x3 - x}
dx
, mark the correct "u" and copy it to the answer box below.
You choose u =
Need help on
how to use
this page?
[3]
In finding
2x
^{4}
x
^{5}
+ 1
dx , mark the correct "u" and copy it to the answer box below.
You choose u =
Need help on
how to use
this page?
[4]
In finding
1
x
x
dx , mark the correct "u" and copy it to the answer box below.
You choose u =
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how to use
this page?
[5]
In finding
( x + 1 )( x - 2 )
^{9}
dx , mark the correct "u" and copy it to the answer box below.
You choose u =
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how to use
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Could you solve this problem using
Integration by Parts?
[6]
In finding
4x
^{3}
+ 6x
^{2}
- 1
x
^{4}
+ 3x
^{2}
- x
dx, mark the correct "u"
;
copy it to the answer box below.
You choose u =
Need help on
how to use
this page?
[7]
In finding
( x + 1 )
dx , mark the correct "u" and copy it to the answer box below.
You choose u =
Need help on
how to use
this page?