What is the integral of ln[g(x)]dx?
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l33tComment -
pie
or
xln(x) dx
u = ln(x) v = x2
2du= dx
∫x dv = x dx
x ln(x) dx=
∫u dv= uv −
∫v du=x2 ln(x)
2 −
∫x2
2dx
x=x2 ln(x)
2 −
∫x
2dx
=x2 ln(x)
2 − x2
4+ C.
2. Compute
(a) d
dx sin��1(x2)
d
dxsin��1(x2)= 1 √1��(x2)2 · 2x= 2x p1��x4 .
(b)
∫12
0
1
1+4x2 dx
u = 2x
du = 2dx
∫12
0
1
1+4x2 dx= 1
2
∫1
0
1
1+u2 du
=1
2
[tan��1 u
]1
0
=1
2
[tan��1 1 − tan��1 0
]=1
2
(π
4− 0
)=π
8 .
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jelloComment -
who said pie?Comment -
That is the simple solution for the case g(x) = x. Sorry, that is incorrect.Comment -
A huge pain in the ass? It would be much easier if you didn't include the g(x) - just x.Comment -
42Comment -
Justin7, is that why you flunked your bar exam?Originally posted by Justin7
Q1: What is your opinion on Ross-Simmons v. Weyerhaeuser?
Justin: "Well, that's a huge pain in the ass. Why don't I just tell you why I think Pizza Hut is better than Domino's?"Comment -
Def'n of libel:Originally posted by mathdotcom
An untruthful statement about a person, published in writing or through broadcast media, that injures the person's reputation or standing in the community.
Would you care to make a retraction or correction re: your statement of my bar exam results?Comment -
no fking clueComment -
Are you threatening to sue, Justin?
If so, you would have to get a lawyer. Do you know one?Comment -
Math, you got Mexi a B on his exam. Not really as good as you think you areComment -
Comment -
uselessComment -
I am laughing at his joke. Do you think anything in college gets marked in a day that isn't full multiple choice?Comment -
I think you owe Mexi 10 pts back lol, 25 is too much for B materialComment -
whats the highest # so far? I bid 1 above thatComment -
One dollar, Bob.Comment