find

using the first fundamental theorem of calc, i got it to be x(x) = 2x.

the answer is wrong. any ideas?

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- Nov 30th 2006, 05:40 PMvietintegral problem

find

using the first fundamental theorem of calc, i got it to be x(x) = 2x.

the answer is wrong. any ideas? - Nov 30th 2006, 05:54 PMThePerfectHacker
- Nov 30th 2006, 06:09 PMviet
so answer is

im not sure how to get , isnt it just ? - Nov 30th 2006, 06:14 PMThePerfectHacker
- Nov 30th 2006, 09:56 PMCaptainBlack
Which is a first order ODE for , which has a general solution of the form:

where is the second degree polynomial for which:

which gives:

,

and so:

But we also have the initial condition so:

So finaly we have:

or:

and so:

Now there is probably an error in there somewhere, but you should get the idea.

RonL